2749
This number is a prime.
The smallest four-digit prime whose absolute difference between any two of its digits is also prime. [Loungrides]
The 2749th Fibonacci number is the smallest Fibonacci number starting with digits 1 to 9 rearranged. [Gudipati]
To our current knowledge, the largest known prime number N such that the number having N binary digits, all equal to 1
except for 0's in prime positions, 2^N - 1 - sum( 2^(p-1);
primes p < N ), is again a prime. [Hasler]
2749 is equal to the sum of the cubes of the digits of its cube. [Gaydos]
A Minnesota horticulture teacher once set a world record in
California for the heaviest pumpkin after growing a giant
jack-o'-lantern gourd weighing 2,749 pounds. [Gienger]
A triangular number cannot end with any digit of 2749. [Nie]