2532578400 has 1080 divisors, whose sum is σ = 11314666440. Its totient is φ = 547430400.

The previous prime is 2532578357. The next prime is 2532578401. The reversal of 2532578400 is 48752352.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (2532578401) 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 179 ways as a sum of consecutive naturals, for example, 133293591 + ... + 133293609.

It is an arithmetic number, because the mean of its divisors is an integer number (10476543).

Almost surely, 2^2532578400 is an apocalyptic number.

2532578400 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 2532578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657333220).

2532578400 is an abundant number, since it is smaller than the sum of its proper divisors (8782088040).

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

2532578400 is a wasteful number, since it uses less digits than its factorization.

2532578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2532578400 is about 50324.7295074698. The cubic root of 2532578400 is about 1363.0788091528.

The spelling of 2532578400 in words is "two billion, five hundred thirty-two million, five hundred seventy-eight thousand, four hundred".