Did you pull the little silver memory battery, too? That's necessary to get the camera to "reboot". Take it out and leave it out for half an hour to 45 minutes. (To reboot when a camera is working, rather than waiting so long you can take the battery out and just press the shutter release once to drain all charge from the camera... But since your camera seems dead, I don't think that would work.)
Have you ever replaced the little silver memory battery? The last time I checked, they were about $1.50 at my local grocery store.
There's no guarantee this will work... but it's worth a try. If it doesn't work, you might have a local camera repair shop look at it. The camera is likely out of warranty, so that shouldn't be a problem.
These are merely a couple ideas to try, because I do suspect that something more serious is wrong and the camera will either need repairs at Canon service, or if that's not cost effective then you might be better off buying a replacement under their loyalty program as already suggested.