Many very good ideas above! I've moved numerous tons of larger rock over the years But before I send in my two cents, I'm making a few logical guesses. First, that like most dump bed trailers the dump bed base is metal (not wood, so forget all of the "screw" this or that down stuff). Second, since you don't already have tie-downs inside the bed, you probably would either A) rather not have them in the bed (so items being dumped don't get hung up later) or B) you don't want to (or can't, and don't have friends that can) weld them in.
Now, my 2 cents, your trailer is a good size for many things, but in my opinion, may be a bit small for this task - however, it may be the largest thing you can haul, if this is correct don't expect to haul more than one rock at a time - you know, fuel being what it is now, add up all the trips and determine if it might be more feasible to hire a truck that will carry all of the rock in one load.
If I were doing this I would probably do it this way. First, consider renting a larger dump trailer - or regular (non-dump) trailer if you have the means to off load the rock. Using either of the methods 5030 stated earlier is absolutely the legal, safe and proper way of doing it. However, if you might be the type to roll the dice or (like me) believe that most times it's easier to play ignorant and hope for a lenient judge should something happen, I would consider doing the following: first, use sand, gravel or mulch on the bottom - myself, I ask the wifey if she needs any of those so it doesn't go to waste, if she doesn't I use the cheapest of the three. Second, line the sides, front & back of trailer with old tires standing upright wherever you have the space. Third, use a tire on top of each rock (with hole over the pointy part on top) and finally, using rated straps, chains etc tie them down to the tie-down points on the outside if the bed. I don't believe I've ever seen a manufactured dump trailer without tie-down points on the outside of the bed - I have seen homemade ones without though.
If it still doesn't appear to be stable AND if you have hailing weight left on the trailer, consider putting more of the bottom layer around the tires, rock and sides of the trailer. DON'T be the guy that decides the trailer is rated for 2T and loads 4T in the bed - that ticket can become really, really expensive (just ask my neighbor), and is extremely unsafe!
Just my 2 cents, hope it helps!