I had kind of the same problem, it would stay on if I pressed the button a few times in rapid succession after it turned off once by itself. But I plugged in a few different charging cables (mine from Logitech seems to have gone south) until I found one that would fast charge it and let it sit for a while, and it worked great. I have a different problem now, I left it turned off for about 8 hours after I unplugged it at full charge and it's lost 13% battery already