2532499200 has 648 divisors, whose sum is σ = 11308192896. Its totient is φ = 525312000.

The previous prime is 2532499199. The next prime is 2532499201. The reversal of 2532499200 is 29942352.

2532499200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2532499199) and next prime (2532499201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532499201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4434915 + ... + 4435485.

Almost surely, 2^2532499200 is an apocalyptic number.

2532499200 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 2532499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654096448).

2532499200 is an abundant number, since it is smaller than the sum of its proper divisors (8775693696).

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

2532499200 is a wasteful number, since it uses less digits than its factorization.

2532499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2532499200 is about 50323.9426118423. The cubic root of 2532499200 is about 1363.0646000544.

The spelling of 2532499200 in words is "two billion, five hundred thirty-two million, four hundred ninety-nine thousand, two hundred".