2532465600 has 672 divisors, whose sum is σ = 10340766720. Its totient is φ = 529858560.

The previous prime is 2532465599. The next prime is 2532465613. The reversal of 2532465600 is 65642352.

2532465600 is digitally balanced in base 2 and base 4, because in such bases 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 (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22411144 + ... + 22411256.

Almost surely, 2^2532465600 is an apocalyptic number.

2532465600 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 2532465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170383360).

2532465600 is an abundant number, since it is smaller than the sum of its proper divisors (7808301120).

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

2532465600 is a wasteful number, since it uses less digits than its factorization.

2532465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2532465600 is about 50323.6087736164. The cubic root of 2532465600 is about 1363.0585718626.

The spelling of 2532465600 in words is "two billion, five hundred thirty-two million, four hundred sixty-five thousand, six hundred".