2056057344 has 200 divisors, whose sum is σ = 6696165168. Its totient is φ = 622909440.

The previous prime is 2056057321. The next prime is 2056057363. The reversal of 2056057344 is 4437506502.

2056057344 is a `hidden beast` number, since 2 + 0 + 5 + 605 + 7 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2056057299 and 2056057308.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 453939 + ... + 458445.

Almost surely, 2^2056057344 is an apocalyptic number.

2056057344 is a gapful number since it is divisible by the number (24) 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 2056057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348082584).

2056057344 is an abundant number, since it is smaller than the sum of its proper divisors (4640107824).

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

2056057344 is an equidigital number, since it uses as much as digits as its factorization.

2056057344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2056057344 is about 45343.7685244621. The cubic root of 2056057344 is about 1271.5840576655.

The spelling of 2056057344 in words is "two billion, fifty-six million, fifty-seven thousand, three hundred forty-four".