2517256 has 32 divisors (see below), whose sum is σ = 5472000. Its totient is φ = 1063296.

The previous prime is 2517239. The next prime is 2517269. The reversal of 2517256 is 6527152.

It is a super-3 number, since 3×2517256³ = 47852365229493339648, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4140 + ... + 4708.

It is an arithmetic number, because the mean of its divisors is an integer number (171000).

2^2517256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2517256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736000).

2517256 is an abundant number, since it is smaller than the sum of its proper divisors (2954744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2517256 is a wasteful number, since it uses less digits than its factorization.

2517256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The square root of 2517256 is about 1586.5862724731. The cubic root of 2517256 is about 136.0324317118.

The spelling of 2517256 in words is "two million, five hundred seventeen thousand, two hundred fifty-six".