2056780160 has 128 divisors (see below), whose sum is σ = 5078816640. Its totient is φ = 796057600.

The previous prime is 2056780147. The next prime is 2056780163. The reversal of 2056780160 is 610876502.

2056780160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2056780160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056780163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3037742 + ... + 3038418.

It is an arithmetic number, because the mean of its divisors is an integer number (39678255).

Almost surely, 2^2056780160 is an apocalyptic number.

2056780160 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 2056780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539408320).

2056780160 is an abundant number, since it is smaller than the sum of its proper divisors (3022036480).

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

2056780160 is a wasteful number, since it uses less digits than its factorization.

2056780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2056780160 is about 45351.7382246811. The cubic root of 2056780160 is about 1271.7330505294.

The spelling of 2056780160 in words is "two billion, fifty-six million, seven hundred eighty thousand, one hundred sixty".