2056693760 has 288 divisors, whose sum is σ = 5855522400. Its totient is φ = 685670400.

The previous prime is 2056693757. The next prime is 2056693777. The reversal of 2056693760 is 673966502.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66344945 + ... + 66344975.

It is an arithmetic number, because the mean of its divisors is an integer number (20331675).

Almost surely, 2^2056693760 is an apocalyptic number.

2056693760 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 2056693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927761200).

2056693760 is an abundant number, since it is smaller than the sum of its proper divisors (3798828640).

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

2056693760 is a wasteful number, since it uses less digits than its factorization.

2056693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The square root of 2056693760 is about 45350.7856602286. The cubic root of 2056693760 is about 1271.7152428777.

The spelling of 2056693760 in words is "two billion, fifty-six million, six hundred ninety-three thousand, seven hundred sixty".