2572886800 has 120 divisors (see below), whose sum is σ = 6770852352. Its totient is φ = 931776000.

The previous prime is 2572886759. The next prime is 2572886821. The reversal of 2572886800 is 86882752.

It is a happy number.

It is a super-2 number, since 2×2572886800² = 13239492971228480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217745 + ... + 1219855.

Almost surely, 2^2572886800 is an apocalyptic number.

2572886800 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 2572886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385426176).

2572886800 is an abundant number, since it is smaller than the sum of its proper divisors (4197965552).

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

2572886800 is a wasteful number, since it uses less digits than its factorization.

2572886800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 2572886800 is about 50723.6315734589. The cubic root of 2572886800 is about 1370.2723453803.

The spelling of 2572886800 in words is "two billion, five hundred seventy-two million, eight hundred eighty-six thousand, eight hundred".