2536008067872 has 96 divisors (see below), whose sum is σ = 7517947570560. Its totient is φ = 831478037760.

The previous prime is 2536008067807. The next prime is 2536008067883. The reversal of 2536008067872 is 2787608006352.

2536008067872 is a `hidden beast` number, since 25 + 3 + 600 + 8 + 0 + 6 + 7 + 8 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 24006268 + ... + 24111675.

It is an arithmetic number, because the mean of its divisors is an integer number (78311953860).

Almost surely, 2^{2536008067872} is an apocalyptic number.

It is an amenable number.

2536008067872 is an abundant number, since it is smaller than the sum of its proper divisors (4981939502688).

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

2536008067872 is a wasteful number, since it uses less digits than its factorization.

2536008067872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48118023 (or 48118009 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2536008067872 in words is "two trillion, five hundred thirty-six billion, eight million, sixty-seven thousand, eight hundred seventy-two".