In the future, you should learn to remove your hard drive safely no matter how urgent your situation is.
However, now, do not format it, if you still want restore all your 2TB data back, and run an external hard drive recovery freeware
that can do its utmost to restore all your inaccessible data back. You should have confidence in this freeware since it has recovered all data of my friend from an inaccessible flash drive. I trust it will work well on your drive. You could download it here: http://freeware-fix.blogspot.com/2013/03/external-hard-disk-not-formatted.htmlPS
: In the future, you also should learn to back up your data all the time.