My screen will not respond to touch and I cannot power off

While your profile line shows that you have an iPad 2, you may actually have a different model because those profile lines are not always correct. If you have an iPad without a home button, see this.

Force restart iPad - Apple Support

try to force restart you iPad by following the below.

Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.