Couple of questions come to mind. First, the 2' of cover, is that top of pipe to finished concrete, or TP to begining of subgrade? Also, are you planning on re-using the 36" concrete pipe or replacing it? Also what kind of surface above the pipe, is is HMAC or reinforced concrete?
I would follow gbam's suggestion of determining loads, maybe an H-20 loading situation or more. Second, the pipe manufacturers tend to be very helpful with this. They will have real world tests of pipe load capacity. You can use a higher class RCP (make it poly lined too, if it is wastewater application, hydrogen sulfides in ww are known to erode concrete)
My guess is you can find a new pipe that can handle the loads without going to special jacket. Probably be less expensive to install too, rather than re-use of old pipe (which may be old and deteriorated) with some form of jacket around it.