If there is no siecial or boot file on your USB, you can simply copy and paste the whole data from your USB to the 2 TB one. But if it's a bootable USB containing boot or special files, you can't copy it like this, because it will make your boot files useless. You need to use a special USB cloning tool to help.
Such as AOMEI Backupper, it's a great utility to clone USB or other hard drives between partitions or disks without any data loss or damage. It is really a good toolkit for every computer.
Now, plug your usb drives into the computer, and run the program. Enter to the "Disk Clone" menu and you'll get the interface as follow. Then choose the "Clone Entire Disk", which allows you to clone entire disk to another.
Select your usb drive which you wan to clone and go to "Next".
Choose the other USB as a destination disk (Make sure the usb drive you select here has larger capacity than the source one, or you'll not be allowed to proceed).
Here you'll get a message reminding you that your next operation will overwrite the content of your destination usb drive. If you agree to continue, hit "Yes". The USB cloning begins.
When the cloning work finishes, there will be a "Successfully Cloned!" message, and you are done!
Sometimes, when the process of cloning USB drive caused to lost your important data from your USB drive, or the data have been formatted, overwritten. Under these circumstances, you need a data recovery software to recover your lost data back. Recoverit data recovery can help you recover all lost data from USB drive ,hard drive, flash dirve, memory card,etc. More details as below: