2057600 has 48 divisors (see below), whose sum is σ = 5090820. Its totient is φ = 821760.

The previous prime is 2057599. The next prime is 2057609. The reversal of 2057600 is 67502.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2879 + ... + 3521.

2^2057600 is an apocalyptic number.

2057600 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 2057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545410).

2057600 is an abundant number, since it is smaller than the sum of its proper divisors (3033220).

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

2057600 is an equidigital number, since it uses as much as digits as its factorization.

2057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2057600 is about 1434.4336861633. The cubic root of 2057600 is about 127.1902000546.

The spelling of 2057600 in words is "two million, fifty-seven thousand, six hundred".