2532528000 has 384 divisors, whose sum is σ = 9329205600. Its totient is φ = 658022400.

The previous prime is 2532527983. The next prime is 2532528013. The reversal of 2532528000 is 8252352.

2532528000 is a `hidden beast` number, since 2 + 532 + 52 + 80 + 0 + 0 = 666.

2532528000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6191796 + ... + 6192204.

Almost surely, 2^2532528000 is an apocalyptic number.

2532528000 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 2532528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664602800).

2532528000 is an abundant number, since it is smaller than the sum of its proper divisors (6796677600).

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

2532528000 is a wasteful number, since it uses less digits than its factorization.

2532528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2532528000 is about 50324.2287571305. The cubic root of 2532528000 is about 1363.0697670336.

The spelling of 2532528000 in words is "two billion, five hundred thirty-two million, five hundred twenty-eight thousand".