2057305200 has 60 divisors (see below), whose sum is σ = 6590238168. Its totient is φ = 548614400.

The previous prime is 2057305189. The next prime is 2057305207. The reversal of 2057305200 is 25037502.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057305207) 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, 856011 + ... + 858410.

Almost surely, 2^2057305200 is an apocalyptic number.

2057305200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057305200 is an abundant number, since it is smaller than the sum of its proper divisors (4532932968).

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

2057305200 is a wasteful number, since it uses less digits than its factorization.

2057305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714442 (or 1714431 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2057305200 is about 45357.5263875798. The cubic root of 2057305200 is about 1271.8412542687.

The spelling of 2057305200 in words is "two billion, fifty-seven million, three hundred five thousand, two hundred".