2056072800 has 72 divisors (see below), whose sum is σ = 6692524776. Its totient is φ = 548285440.

The previous prime is 2056072793. The next prime is 2056072807. The reversal of 2056072800 is 82706502.

It is an interprime number because it is at equal distance from previous prime (2056072793) and next prime (2056072807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056072807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425949 + ... + 430748.

It is an arithmetic number, because the mean of its divisors is an integer number (92951733).

Almost surely, 2^2056072800 is an apocalyptic number.

2056072800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056072800 is an abundant number, since it is smaller than the sum of its proper divisors (4636451976).

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

2056072800 is a wasteful number, since it uses less digits than its factorization.

2056072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856720 (or 856707 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2056072800 is about 45343.9389554988. The cubic root of 2056072800 is about 1271.5872439504.

The spelling of 2056072800 in words is "two billion, fifty-six million, seventy-two thousand, eight hundred".