2872135113760 has 96 divisors (see below), whose sum is σ = 7410334377600. Its totient is φ = 1043275714560.

The previous prime is 2872135113751. The next prime is 2872135113779. The reversal of 2872135113760 is 673115312782.

It is a super-2 number, since 2×2872135113760² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2872135113760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729576 + ... + 2505304.

It is an arithmetic number, because the mean of its divisors is an integer number (77190983100).

Almost surely, 2^{2872135113760} is an apocalyptic number.

2872135113760 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 2872135113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705167188800).

2872135113760 is an abundant number, since it is smaller than the sum of its proper divisors (4538199263840).

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

2872135113760 is a wasteful number, since it uses less digits than its factorization.

2872135113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776674 (or 1776666 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 2872135113760 in words is "two trillion, eight hundred seventy-two billion, one hundred thirty-five million, one hundred thirteen thousand, seven hundred sixty".