2257956 has 72 divisors (see below), whose sum is σ = 6237504. Its totient is φ = 712800.

The previous prime is 2257949. The next prime is 2257961. The reversal of 2257956 is 6597522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁵ + 2²¹ + 5⁵ + 7² + 9² + 5⁷ + 6⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 2257956.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22306 + ... + 22406.

It is an arithmetic number, because the mean of its divisors is an integer number (86632).

2^2257956 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 2257956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118752).

2257956 is an abundant number, since it is smaller than the sum of its proper divisors (3979548).

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

2257956 is a wasteful number, since it uses less digits than its factorization.

2257956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2257956 is about 1502.6496597677. The cubic root of 2257956 is about 131.1913370495.

The spelling of 2257956 in words is "two million, two hundred fifty-seven thousand, nine hundred fifty-six".