I don't think so. but they do have serial numbers and are most likely in sequence. What is yours? mine is Serial Number 50090 and next month will be the 25th payment (only 17 more). I got mine just over two years ago when they just came out and were very difficult to locate. Nobody on this sight had any information on them just the rumored information. I remember the discussions on how it was too much power and why would anybody need that. Since than they appear to of been selling very well.
I don't want to put the whole serial number up but mine is 57xxx. Just bought it today and expecting delivery in July. I would be suprised if they built 2000 tractors between April and June. If they did that's a lot of tractors.
Dont know if this helps any but some manufacturers give an inventory serial number which is the numerical order number for the machine placed for that year.
Is your cab a curtis hard cab with lift off doors and window wipers?
Do you have cruise control with it and a hand throttle too?
My fathers neighbor has a BX2350 with a hard cab, High out put defroster fan on the left of the steering wheel, dual wipers etc. and she loves it.