2872252800 has 576 divisors, whose sum is σ = 11221938000. Its totient is φ = 696729600.

The previous prime is 2872252793. The next prime is 2872252837. The reversal of 2872252800 is 82522782.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2872252800² = 16499672294215680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 15868710 + ... + 15868890.

Almost surely, 2^2872252800 is an apocalyptic number.

2872252800 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 2872252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610969000).

2872252800 is an abundant number, since it is smaller than the sum of its proper divisors (8349685200).

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

2872252800 is a wasteful number, since it uses less digits than its factorization.

2872252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2872252800 is about 53593.4025790489. The cubic root of 2872252800 is about 1421.4804371055.

The spelling of 2872252800 in words is "two billion, eight hundred seventy-two million, two hundred fifty-two thousand, eight hundred".