A divorce terminates all legal relationships between spouses, so you wouldn't get any death benefits (especially because you have no children together). While he may have cost you a lot, you do have your freedom.
If your divorce decree awarded you an interest in his retirement benefits you may be entitled to something--like part of his pension or 401K--not social security. You should review your divorce decree. You should also make sure that you still aren't named as a beneficiary on any life insurance policies that he may have had.
Sometimes, people forget to rename a beneficiary after a divorce.