Is the pump plugged into a power source and is it actually running? You should be able to hear it making a soft ticking sound (sounds kind of like a hard disk seeking). Re-check your installation of the block and mounting hardware - something is definitely wrong.
~2200 rpm is exactly where the H80 should run. So it would seem the pump is running fine. The radiator fan(s) should also be running. It sounds more like it isn't mounted on the socket quite right. Make sure you are using the proper hardware and mounting brackets for the Intel 1150 socket.
Yeah, I agree with larkspur. I'd take everything H80i off and start from scratch. Be careful to check that all screws line up straight, comparing to pictures online. Also, do the same thing to make sure that all cables are plugged into the right plugs.
Hey man, I had the same problem with my H80i with a i7 4770, in idle it was around 50 degrees and under stress it was hitting 95 degrees. So I disassembled everything and put together again, making sure to tighten the fittings very well, pushing the piece that fits behind the motherboard against the piece that fits in front and only then screwing them.
Also my radiator was pulling air from inside to outside, where the "correct way" should be pulling air from outside to inside. After making these changes, the idle temp went to 27 degrees and when in full stress, for hours, it was hitting 55 degrees.