2256338896 has 160 divisors (see below), whose sum is σ = 5327659008. Its totient is φ = 905748480.

The previous prime is 2256338869. The next prime is 2256338911. The reversal of 2256338896 is 6988336522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17766385 + ... + 17766511.

Almost surely, 2^2256338896 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 2256338896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663829504).

2256338896 is an abundant number, since it is smaller than the sum of its proper divisors (3071320112).

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

2256338896 is a wasteful number, since it uses less digits than its factorization.

2256338896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The square root of 2256338896 is about 47500.9357381515. The cubic root of 2256338896 is about 1311.6001067848.

The spelling of 2256338896 in words is "two billion, two hundred fifty-six million, three hundred thirty-eight thousand, eight hundred ninety-six".