2056106130 has 128 divisors (see below), whose sum is σ = 5486745600. Its totient is φ = 489891840.

The previous prime is 2056106113. The next prime is 2056106153. The reversal of 2056106130 is 316016502.

It is a super-4 number, since 4×2056106130⁴ (a number of 38 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2056106130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2382079 + ... + 2382941.

It is an arithmetic number, because the mean of its divisors is an integer number (42865200).

Almost surely, 2^2056106130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056106130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800).

2056106130 is an abundant number, since it is smaller than the sum of its proper divisors (3430639470).

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

2056106130 is a wasteful number, since it uses less digits than its factorization.

2056106130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2056106130 is about 45344.3064783221. The cubic root of 2056106130 is about 1271.5941149416.

The spelling of 2056106130 in words is "two billion, fifty-six million, one hundred six thousand, one hundred thirty".