I already told you. Table splitting is an online operation. You can do that before you start the export.
You need to list the biggest tables using Tx DB02 and then split them into smaller files and save them into a text file (Eg: Split.txt).
Start the "Table Splitting Preparation" in sapinst and provide the Split.txt with location in the "Table Input File" under Table Splitting.
You should consider parallel export and import for a database with size 2.2 TB
Again if you don't have sufficient hardware resources then things are not going to be fast.