2536756016832 has 168 divisors, whose sum is σ = 7612511765040. Its totient is φ = 806590310400.

The previous prime is 2536756016813. The next prime is 2536756016863. The reversal of 2536756016832 is 2386106576352.

2536756016832 is a `hidden beast` number, since 2 + 5 + 3 + 67 + 560 + 16 + 8 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471582 + ... + 2301282.

It is an arithmetic number, because the mean of its divisors is an integer number (45312570030).

Almost surely, 2^{2536756016832} 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 2536756016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806255882520).

2536756016832 is an abundant number, since it is smaller than the sum of its proper divisors (5075755748208).

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

2536756016832 is a wasteful number, since it uses less digits than its factorization.

2536756016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829831 (or 1829818 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2536756016832 in words is "two trillion, five hundred thirty-six billion, seven hundred fifty-six million, sixteen thousand, eight hundred thirty-two".