2256933888 has 352 divisors, whose sum is σ = 7510688640. Its totient is φ = 663552000.

The previous prime is 2256933883. The next prime is 2256933901. The reversal of 2256933888 is 8883396522.

2256933888 is a `hidden beast` number, since 2 + 256 + 9 + 3 + 388 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256933883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12469158 + ... + 12469338.

Almost surely, 2^2256933888 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 2256933888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755344320).

2256933888 is an abundant number, since it is smaller than the sum of its proper divisors (5253754752).

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

2256933888 is a wasteful number, since it uses less digits than its factorization.

2256933888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 2256933888 is about 47507.1982756298. The cubic root of 2256933888 is about 1311.7153854170.

The spelling of 2256933888 in words is "two billion, two hundred fifty-six million, nine hundred thirty-three thousand, eight hundred eighty-eight".