| Next prime | 2689 |
| Previous prime | 2683 |
| Octal | (5177)8 |
| Hexadecimal | (A7F)16 |
| Prime gap | 2 |
| 76th Twin prime (the small number) | The big number is 2689 . |
| 59th Prime triplet (the smallest number) | The others are 2689 and 2693 . |
| 158th Sexy prime (the small number) | The big number is 2693 . |
| 199th Prime of the Form 4n+3 |