2872209024000 has 2816 divisors, whose sum is σ = 12360447590400. Its totient is φ = 652935168000.

The previous prime is 2872209023993. The next prime is 2872209024029. The reversal of 2872209024000 is 4209022782.

It is a happy number.

2872209024000 is a `hidden beast` number, since 28 + 7 + 220 + 9 + 0 + 2 + 400 + 0 = 666.

2872209024000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34604927959 + ... + 34604928041.

Almost surely, 2^{2872209024000} is an apocalyptic number.

2872209024000 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 2872209024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180223795200).

2872209024000 is an abundant number, since it is smaller than the sum of its proper divisors (9488238566400).

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

2872209024000 is a wasteful number, since it uses less digits than its factorization.

2872209024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2872209024000 in words is "two trillion, eight hundred seventy-two billion, two hundred nine million, twenty-four thousand".