2532668688 has 160 divisors (see below), whose sum is σ = 8348275200. Its totient is φ = 727056000.

The previous prime is 2532668681. The next prime is 2532668689. The reversal of 2532668688 is 8868662352.

2532668688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2532668681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76263 + ... + 104313.

It is an arithmetic number, because the mean of its divisors is an integer number (52176720).

Almost surely, 2^2532668688 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 2532668688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174137600).

2532668688 is an abundant number, since it is smaller than the sum of its proper divisors (5815606512).

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

2532668688 is a wasteful number, since it uses less digits than its factorization.

2532668688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28098 (or 28086 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 2532668688 is about 50325.6265534767. The cubic root of 2532668688 is about 1363.0950071637.

The spelling of 2532668688 in words is "two billion, five hundred thirty-two million, six hundred sixty-eight thousand, six hundred eighty-eight".