2056427100 has 648 divisors, whose sum is σ = 8590418928. Its totient is φ = 406425600.

The previous prime is 2056427077. The next prime is 2056427101. The reversal of 2056427100 is 17246502.

2056427100 is a `hidden beast` number, since 2 + 0 + 5 + 642 + 7 + 10 + 0 = 666.

It is a super-2 number, since 2×2056427100² = 8457784835228820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056427101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9745995 + ... + 9746205.

Almost surely, 2^2056427100 is an apocalyptic number.

2056427100 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 2056427100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295209464).

2056427100 is an abundant number, since it is smaller than the sum of its proper divisors (6533991828).

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

2056427100 is a wasteful number, since it uses less digits than its factorization.

2056427100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2056427100 is about 45347.8455938096. The cubic root of 2056427100 is about 1271.6602792186.

The spelling of 2056427100 in words is "two billion, fifty-six million, four hundred twenty-seven thousand, one hundred".