2056106600 has 96 divisors (see below), whose sum is σ = 4866176640. Its totient is φ = 807840000.

The previous prime is 2056106593. The next prime is 2056106609. The reversal of 2056106600 is 66016502.

It is a self number, because there is not a number n which added to its sum of digits gives 2056106600.

It is not an unprimeable number, because it can be changed into a prime (2056106609) 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, 3110270 + ... + 3110930.

It is an arithmetic number, because the mean of its divisors is an integer number (50689340).

Almost surely, 2^2056106600 is an apocalyptic number.

2056106600 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 2056106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433088320).

2056106600 is an abundant number, since it is smaller than the sum of its proper divisors (2810070040).

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

2056106600 is a wasteful number, since it uses less digits than its factorization.

2056106600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2056106600 is about 45344.3116608908. The cubic root of 2056106600 is about 1271.5942118317.

The spelling of 2056106600 in words is "two billion, fifty-six million, one hundred six thousand, six hundred".