iPad2 16 GB Screen blank. Cannot boot.

Try a new charger & cord, look for visible damage to the charge port or corrosion. Do a hard reset, hold power and home button at the same time. The Apple logo should pop up after about 10-20 sec.

If all that doesn't work you would need to disassemble the iPAD and disconnect the battery for about one minute and then reconnect. You can have a local repair shop do this for you if your not comfortable.

If that doesn't work there is a board level issue and it might not be economical to repair.