2057680800 has 576 divisors, whose sum is σ = 8799436800. Its totient is φ = 454118400.

The previous prime is 2057680787. The next prime is 2057680861. The reversal of 2057680800 is 80867502.

2057680800 is a `hidden beast` number, since 2 + 0 + 576 + 8 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4686981 + ... + 4687419.

It is an arithmetic number, because the mean of its divisors is an integer number (15276800).

Almost surely, 2^2057680800 is an apocalyptic number.

2057680800 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 2057680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399718400).

2057680800 is an abundant number, since it is smaller than the sum of its proper divisors (6741756000).

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

2057680800 is a wasteful number, since it uses less digits than its factorization.

2057680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2057680800 is about 45361.6666360485. Note that the first 4 decimals coincide. The cubic root of 2057680800 is about 1271.9186491227.

The spelling of 2057680800 in words is "two billion, fifty-seven million, six hundred eighty thousand, eight hundred".