2256050880 has 392 divisors, whose sum is σ = 8495233200. Its totient is φ = 568829952.

The previous prime is 2256050873. The next prime is 2256050891. The reversal of 2256050880 is 880506522.

2256050880 is a `hidden beast` number, since 22 + 56 + 0 + 508 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4432066 + ... + 4432574.

Almost surely, 2^2256050880 is an apocalyptic number.

2256050880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247616600).

2256050880 is an abundant number, since it is smaller than the sum of its proper divisors (6239182320).

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

2256050880 is an equidigital number, since it uses as much as digits as its factorization.

2256050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2256050880 is about 47497.9039537536. The cubic root of 2256050880 is about 1311.5442969223.

The spelling of 2256050880 in words is "two billion, two hundred fifty-six million, fifty thousand, eight hundred eighty".