| Next prime | 2659 |
| Previous prime | 2647 |
| Octal | (5141)8 |
| Hexadecimal | (A61)16 |
| Prime gap | 2 |
| 75th Twin prime (the small number) | The big number is 2593 . |
| 57th Prime triplet (the smallest number) | The others are 2659 and 2663 . |
| 154th Sexy prime (the small number) | The big number is 2663 . |
| 189th Prime of the Form 4n+1 | 162 + 492 |