Hi there and welcome
I have a drive for you that runs on USB 2.0 which you can get here
Is this what you are looking for?
Fantom do not have one with USB 2 and 2TB, but you just need the space it does not need to be the same brand as it is just transferring data.
You can use this one which is 2TB on USB 2 which will allow you to back it up