2872744215936 has 512 divisors, whose sum is σ = 9622919577600. Its totient is φ = 741220761600.

The previous prime is 2872744215923. The next prime is 2872744215937. The reversal of 2872744215936 is 6395124472782.

It is a super-3 number, since 3×2872744215936³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2872744215936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872744215937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78560025 + ... + 78596583.

It is an arithmetic number, because the mean of its divisors is an integer number (18794764800).

Almost surely, 2^{2872744215936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872744215936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811459788800).

2872744215936 is an abundant number, since it is smaller than the sum of its proper divisors (6750175361664).

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

2872744215936 is a wasteful number, since it uses less digits than its factorization.

2872744215936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36678 (or 36666 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 2872744215936 in words is "two trillion, eight hundred seventy-two billion, seven hundred forty-four million, two hundred fifteen thousand, nine hundred thirty-six".