2056538880 has 216 divisors, whose sum is σ = 7762744080. Its totient is φ = 498524160.

The previous prime is 2056538873. The next prime is 2056538881. The reversal of 2056538880 is 888356502.

It is a happy number.

2056538880 is a `hidden beast` number, since 2 + 0 + 565 + 3 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2056538881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118606 + ... + 134834.

It is an arithmetic number, because the mean of its divisors is an integer number (35938630).

Almost surely, 2^2056538880 is an apocalyptic number.

2056538880 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 2056538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881372040).

2056538880 is an abundant number, since it is smaller than the sum of its proper divisors (5706205200).

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

2056538880 is a wasteful number, since it uses less digits than its factorization.

2056538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16267 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2056538880 is about 45349.0780501655. The cubic root of 2056538880 is about 1271.6833197648.

The spelling of 2056538880 in words is "two billion, fifty-six million, five hundred thirty-eight thousand, eight hundred eighty".