2056541760 has 1008 divisors, whose sum is σ = 9485985600. Its totient is φ = 404103168.

The previous prime is 2056541749. The next prime is 2056541761. The reversal of 2056541760 is 671456502.

It is a happy number.

2056541760 is a `hidden beast` number, since 2 + 0 + 56 + 541 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2056541761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34856611 + ... + 34856669.

It is an arithmetic number, because the mean of its divisors is an integer number (9410700).

Almost surely, 2^2056541760 is an apocalyptic number.

2056541760 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 2056541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742992800).

2056541760 is an abundant number, since it is smaller than the sum of its proper divisors (7429443840).

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

2056541760 is a wasteful number, since it uses less digits than its factorization.

2056541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2056541760 is about 45349.1098038319. The cubic root of 2056541760 is about 1271.6839133910.

The spelling of 2056541760 in words is "two billion, fifty-six million, five hundred forty-one thousand, seven hundred sixty".