2572800 has 120 divisors (see below), whose sum is σ = 8625936. Its totient is φ = 675840.

The previous prime is 2572799. The next prime is 2572811. The reversal of 2572800 is 82752.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

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, 38367 + ... + 38433.

2^2572800 is an apocalyptic number.

2572800 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 2572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312968).

2572800 is an abundant number, since it is smaller than the sum of its proper divisors (6053136).

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

2572800 is an equidigital number, since it uses as much as digits as its factorization.

2572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2572800 is about 1603.9950124611. The cubic root of 2572800 is about 137.0256935844.

The spelling of 2572800 in words is "two million, five hundred seventy-two thousand, eight hundred".