2532664320 has 352 divisors, whose sum is σ = 8659104768. Its totient is φ = 630423552.

The previous prime is 2532664283. The next prime is 2532664327. The reversal of 2532664320 is 234662352.

It is not an unprimeable number, because it can be changed into a prime (2532664327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23669707 + ... + 23669813.

Almost surely, 2^2532664320 is an apocalyptic number.

2532664320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329552384).

2532664320 is an abundant number, since it is smaller than the sum of its proper divisors (6126440448).

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

2532664320 is a wasteful number, since it uses less digits than its factorization.

2532664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 2532664320 is about 50325.5831560847. The cubic root of 2532664320 is about 1363.0942235367.

The spelling of 2532664320 in words is "two billion, five hundred thirty-two million, six hundred sixty-four thousand, three hundred twenty".