2532493600 has 288 divisors, whose sum is σ = 7795751040. Its totient is φ = 781885440.

The previous prime is 2532493577. The next prime is 2532493609. The reversal of 2532493600 is 63942352.

It is not an unprimeable number, because it can be changed into a prime (2532493609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3129996 + ... + 3130804.

It is an arithmetic number, because the mean of its divisors is an integer number (27068580).

Almost surely, 2^2532493600 is an apocalyptic number.

2532493600 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 2532493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897875520).

2532493600 is an abundant number, since it is smaller than the sum of its proper divisors (5263257440).

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

2532493600 is a wasteful number, since it uses less digits than its factorization.

2532493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 2532493600 is about 50323.8869722918. The cubic root of 2532493600 is about 1363.0635953595.

The spelling of 2532493600 in words is "two billion, five hundred thirty-two million, four hundred ninety-three thousand, six hundred".