2536340436352 has 64 divisors (see below), whose sum is σ = 5350412705040. Its totient is φ = 1193500672000.

The previous prime is 2536340436307. The next prime is 2536340436379.

2536340436352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 60909363 + ... + 60950989.

Almost surely, 2^{2536340436352} is an apocalyptic number.

It is an amenable number.

2536340436352 is an abundant number, since it is smaller than the sum of its proper divisors (2814072268688).

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

2536340436352 is a wasteful number, since it uses less digits than its factorization.

2536340436352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69659 (or 69647 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 46.

The spelling of 2536340436352 in words is "two trillion, five hundred thirty-six billion, three hundred forty million, four hundred thirty-six thousand, three hundred fifty-two".