2572384000 has 72 divisors (see below), whose sum is σ = 6408209808. Its totient is φ = 1028940800.

The previous prime is 2572383971. The next prime is 2572384021. The reversal of 2572384000 is 4832752.

It is a super-3 number, since 3×2572384000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8194 + ... + 72193.

It is an arithmetic number, because the mean of its divisors is an integer number (89002914).

Almost surely, 2^2572384000 is an apocalyptic number.

2572384000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2572384000 is an abundant number, since it is smaller than the sum of its proper divisors (3835825808).

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

2572384000 is an frugal number, since it uses more digits than its factorization.

2572384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80418 (or 80394 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 2572384000 is about 50718.6750615589. The cubic root of 2572384000 is about 1370.1830788775.

The spelling of 2572384000 in words is "two billion, five hundred seventy-two million, three hundred eighty-four thousand".