2736514872336 has 320 divisors, whose sum is σ = 8887431168000. Its totient is φ = 708088324608.

The previous prime is 2736514872323. The next prime is 2736514872347. The reversal of 2736514872336 is 6332784156372.

2736514872336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2736514872336² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12796015 + ... + 13008113.

It is an arithmetic number, because the mean of its divisors is an integer number (27773222400).

Almost surely, 2^{2736514872336} 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 2736514872336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443715584000).

2736514872336 is an abundant number, since it is smaller than the sum of its proper divisors (6150916295664).

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

2736514872336 is a wasteful number, since it uses less digits than its factorization.

2736514872336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212226 (or 212220 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 57.

The spelling of 2736514872336 in words is "two trillion, seven hundred thirty-six billion, five hundred fourteen million, eight hundred seventy-two thousand, three hundred thirty-six".