Them's the rules. A motion to invoke cloture requires 48 hours notice.
A filibuster can be stopped when the Senate invokes cloture. This can be an arduous task in and of itself. To invoke cloture, a Senator needs to do the following:
1. Wait two days after a filibuster begins.
2. Obtain sixteen signatures on a motion to invoke cloture.
3. Wait another two days before the Senate can vote on cloture.
4. Make sure that three-fifths of the Senate (sixty Senators) vote to end debate.
5. Endure an additional thirty hours of debate before the final roll call vote.
BTW, obtaining cloture is not necessarily a guarantee that the filibuster will be over.