Had exactly the same issue. It goes into recovery mode and requires a restore. But what's worse for my case is that the restore doesn't even happen forcing an error 2001 message. Called the Apple rep and even she was surprised this happens as I'm on the Mac platform. As a result, she indicated that it's likely to be a hardware issue.
Hi, I just want to know whether you got yours fixed or replaced? i think I'm having the same problem now whereby it goes into deep sleep whenever i leave it idle, even for only a few minutes. Holding the on/off and home button simultaneously will wake it up but once i leave it idle again, it will go back to sleep. This will only continue again and again throughout the day.