2057520800 has 72 divisors (see below), whose sum is σ = 5059855836. Its totient is φ = 816957440.

The previous prime is 2057520767. The next prime is 2057520823. The reversal of 2057520800 is 80257502.

It can be written as a sum of positive squares in 6 ways, for example, as 1575454864 + 482065936 = 39692^2 + 21956^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100214 + ... + 118986.

Almost surely, 2^2057520800 is an apocalyptic number.

2057520800 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 2057520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529927918).

2057520800 is an abundant number, since it is smaller than the sum of its proper divisors (3002335036).

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

2057520800 is a wasteful number, since it uses less digits than its factorization.

2057520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18930 (or 18917 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 2057520800 is about 45359.9029981326. The cubic root of 2057520800 is about 1271.8856812204.

The spelling of 2057520800 in words is "two billion, fifty-seven million, five hundred twenty thousand, eight hundred".