2872756800 has 168 divisors, whose sum is σ = 10472420000. Its totient is φ = 766056960.

The previous prime is 2872756739. The next prime is 2872756811. The reversal of 2872756800 is 86572782.

2872756800 is a `hidden beast` number, since 2 + 87 + 2 + 7 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9951 + ... + 76449.

Almost surely, 2^2872756800 is an apocalyptic number.

2872756800 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 2872756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236210000).

2872756800 is an abundant number, since it is smaller than the sum of its proper divisors (7599663200).

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

2872756800 is a wasteful number, since it uses less digits than its factorization.

2872756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66530 (or 66509 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2872756800 is about 53598.1044440939. The cubic root of 2872756800 is about 1421.5635755907.

The spelling of 2872756800 in words is "two billion, eight hundred seventy-two million, seven hundred fifty-six thousand, eight hundred".