Okay, holding down the power button and the home button got it to reboot, finally! iTunes connected and seems to be sinking, but it STILL on step 2 of 6. Usually it backs up faster than this. I downloaded a grocery store app this morning. Could that be what is wrong? The phone continued to work all day after I downloaded the app, though.
Oh, iTunes just finished backing up. Have any idea what caused the phone to go dead?