2872639579200 has 672 divisors, whose sum is σ = 10114267645440. Its totient is φ = 711659520000.

The previous prime is 2872639579157. The next prime is 2872639579211. The reversal of 2872639579200 is 29759362782.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1533709464 + ... + 1533711336.

It is an arithmetic number, because the mean of its divisors is an integer number (15050993520).

Almost surely, 2^{2872639579200} is an apocalyptic number.

2872639579200 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 2872639579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057133822720).

2872639579200 is an abundant number, since it is smaller than the sum of its proper divisors (7241628066240).

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

2872639579200 is a wasteful number, since it uses less digits than its factorization.

2872639579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 2872639579200 in words is "two trillion, eight hundred seventy-two billion, six hundred thirty-nine million, five hundred seventy-nine thousand, two hundred".