2256667504 has 80 divisors (see below), whose sum is σ = 5397918400. Its totient is φ = 889989120.

The previous prime is 2256667433. The next prime is 2256667513. The reversal of 2256667504 is 4057666522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505924 + ... + 510364.

It is an arithmetic number, because the mean of its divisors is an integer number (67473980).

Almost surely, 2^2256667504 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 2256667504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698959200).

2256667504 is an abundant number, since it is smaller than the sum of its proper divisors (3141250896).

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

2256667504 is a wasteful number, since it uses less digits than its factorization.

2256667504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The square root of 2256667504 is about 47504.3945756601. The cubic root of 2256667504 is about 1311.6637765002.

The spelling of 2256667504 in words is "two billion, two hundred fifty-six million, six hundred sixty-seven thousand, five hundred four".