2056163328 has 234 divisors, whose sum is σ = 6341914514. Its totient is φ = 641728512.

The previous prime is 2056163303. The next prime is 2056163341. The reversal of 2056163328 is 8233616502.

It is a happy number.

2056163328 is a `hidden beast` number, since 2 + 0 + 5 + 616 + 3 + 32 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 566820864 + 1489342464 = 23808^2 + 38592^2 .

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 = 2056163292 and 2056163301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10653600 + ... + 10653792.

Almost surely, 2^2056163328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170957257).

2056163328 is an abundant number, since it is smaller than the sum of its proper divisors (4285751186).

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

2056163328 is a wasteful number, since it uses less digits than its factorization.

2056163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2056163328 is about 45344.9371815642. The cubic root of 2056163328 is about 1271.6059061561.

The spelling of 2056163328 in words is "two billion, fifty-six million, one hundred sixty-three thousand, three hundred twenty-eight".