2632539509888 has 72 divisors (see below), whose sum is σ = 5334166244745. Its totient is φ = 1294140864000.

The previous prime is 2632539509869. The next prime is 2632539509921. The reversal of 2632539509888 is 8889059352362.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1783207695424 + 849331814464 = 1335368^2 + 921592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1147288.

It is a super-2 number, since 2×2632539509888² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1119751913 + ... + 1119754263.

Almost surely, 2^{2632539509888} 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 2632539509888

2632539509888 is an abundant number, since it is smaller than the sum of its proper divisors (2701626734857).

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

2632539509888 is an frugal number, since it uses more digits than its factorization.

2632539509888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 68.

The spelling of 2632539509888 in words is "two trillion, six hundred thirty-two billion, five hundred thirty-nine million, five hundred nine thousand, eight hundred eighty-eight".