2256481536 has 144 divisors (see below), whose sum is σ = 6389445888. Its totient is φ = 704512000.

The previous prime is 2256481481. The next prime is 2256481571. The reversal of 2256481536 is 6351846522.

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, 5235241 + ... + 5235671.

It is an arithmetic number, because the mean of its divisors is an integer number (44371152).

Almost surely, 2^2256481536 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 2256481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194722944).

2256481536 is an abundant number, since it is smaller than the sum of its proper divisors (4132964352).

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

2256481536 is a wasteful number, since it uses less digits than its factorization.

2256481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 2256481536 is about 47502.4371585290. The cubic root of 2256481536 is about 1311.6277448755.

The spelling of 2256481536 in words is "two billion, two hundred fifty-six million, four hundred eighty-one thousand, five hundred thirty-six".