2056049606160 has 960 divisors, whose sum is σ = 8239949752320. Its totient is φ = 453787729920.

The previous prime is 2056049606141. The next prime is 2056049606161. The reversal of 2056049606160 is 616069406502.

2056049606160 is a `hidden beast` number, since 20 + 5 + 6 + 0 + 4 + 9 + 6 + 0 + 616 + 0 = 666.

It is a super-2 number, since 2×2056049606160² (a number of 25 digits) contains 22 as substring.

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 (2056049606161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 619476981 + ... + 619480299.

It is an arithmetic number, because the mean of its divisors is an integer number (8583280992).

Almost surely, 2^{2056049606160} is an apocalyptic number.

2056049606160 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 2056049606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119974876160).

2056049606160 is an abundant number, since it is smaller than the sum of its proper divisors (6183900146160).

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

2056049606160 is a wasteful number, since it uses less digits than its factorization.

2056049606160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2056049606160 in words is "two trillion, fifty-six billion, forty-nine million, six hundred six thousand, one hundred sixty".