2056541160 has 32 divisors (see below), whose sum is σ = 6169623840. Its totient is φ = 548410944.

The previous prime is 2056541107. The next prime is 2056541161. The reversal of 2056541160 is 611456502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2056541161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8568802 + ... + 8569041.

It is an arithmetic number, because the mean of its divisors is an integer number (192800745).

Almost surely, 2^2056541160 is an apocalyptic number.

2056541160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056541160 is an abundant number, since it is smaller than the sum of its proper divisors (4113082680).

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

2056541160 is a wasteful number, since it uses less digits than its factorization.

2056541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17137857 (or 17137853 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2056541160 is about 45349.1031884865. The cubic root of 2056541160 is about 1271.6837897189.

Adding to 2056541160 its reverse (611456502), we get a palindrome (2667997662).

The spelling of 2056541160 in words is "two billion, fifty-six million, five hundred forty-one thousand, one hundred sixty".