2536384836352 has 72 divisors (see below), whose sum is σ = 5221778772672. Its totient is φ = 1228919808000.

The previous prime is 2536384836311. The next prime is 2536384836361.

It is a happy number.

2536384836352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171652 + ... + 2258812.

It is an arithmetic number, because the mean of its divisors is an integer number (72524705176).

Almost surely, 2^{2536384836352} 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 2536384836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610889386336).

2536384836352 is an abundant number, since it is smaller than the sum of its proper divisors (2685393936320).

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

2536384836352 is a wasteful number, since it uses less digits than its factorization.

2536384836352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087325 (or 2087311 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 58.

The spelling of 2536384836352 in words is "two trillion, five hundred thirty-six billion, three hundred eighty-four million, eight hundred thirty-six thousand, three hundred fifty-two".