2056981680 has 120 divisors (see below), whose sum is σ = 7439450928. Its totient is φ = 506331648.

The previous prime is 2056981637. The next prime is 2056981681. The reversal of 2056981680 is 861896502.

2056981680 is a `hidden beast` number, since 2 + 0 + 569 + 8 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (2056981681) 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, 100522 + ... + 119241.

Almost surely, 2^2056981680 is an apocalyptic number.

2056981680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056981680 is an abundant number, since it is smaller than the sum of its proper divisors (5382469248).

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

2056981680 is a wasteful number, since it uses less digits than its factorization.

2056981680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219795 (or 219786 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2056981680 is about 45353.9599153150. The cubic root of 2056981680 is about 1271.7745832901.

The spelling of 2056981680 in words is "two billion, fifty-six million, nine hundred eighty-one thousand, six hundred eighty".