2872296000 has 672 divisors, whose sum is σ = 12115434240. Its totient is φ = 635904000.

The previous prime is 2872295989. The next prime is 2872296017. The reversal of 2872296000 is 6922782.

2872296000 is a `hidden beast` number, since 28 + 7 + 2 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 20663931 + ... + 20664069.

It is an arithmetic number, because the mean of its divisors is an integer number (18028920).

Almost surely, 2^2872296000 is an apocalyptic number.

2872296000 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 2872296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057717120).

2872296000 is an abundant number, since it is smaller than the sum of its proper divisors (9243138240).

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

2872296000 is a wasteful number, since it uses less digits than its factorization.

2872296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2872296000 is about 53593.8056122160. The cubic root of 2872296000 is about 1421.4875636425.

The spelling of 2872296000 in words is "two billion, eight hundred seventy-two million, two hundred ninety-six thousand".