2536105632 has 96 divisors (see below), whose sum is σ = 6724815552. Its totient is φ = 836849664.

The previous prime is 2536105609. The next prime is 2536105667. The reversal of 2536105632 is 2365016352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2536105593 and 2536105602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7525368 + ... + 7525704.

It is an arithmetic number, because the mean of its divisors is an integer number (70050162).

Almost surely, 2^2536105632 is an apocalyptic number.

It is an amenable number.

2536105632 is an abundant number, since it is smaller than the sum of its proper divisors (4188709920).

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

2536105632 is a wasteful number, since it uses less digits than its factorization.

2536105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2536105632 is about 50359.7620327976. The cubic root of 2536105632 is about 1363.7113219660.

The spelling of 2536105632 in words is "two billion, five hundred thirty-six million, one hundred five thousand, six hundred thirty-two".