2523366400 has 132 divisors (see below), whose sum is σ = 6296203540. Its totient is φ = 1002700800.

The previous prime is 2523366379. The next prime is 2523366403. The reversal of 2523366400 is 46633252.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 135675904 + 2387690496 = 11648^2 + 48864^2 .

It is not an unprimeable number, because it can be changed into a prime (2523366403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6169396 + ... + 6169804.

Almost surely, 2^2523366400 is an apocalyptic number.

2523366400 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 2523366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148101770).

2523366400 is an abundant number, since it is smaller than the sum of its proper divisors (3772837140).

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

2523366400 is a wasteful number, since it uses less digits than its factorization.

2523366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 2523366400 is about 50233.1205481005. The cubic root of 2523366400 is about 1361.4241137658.

Adding to 2523366400 its reverse (46633252), we get a palindrome (2569999652).

The spelling of 2523366400 in words is "two billion, five hundred twenty-three million, three hundred sixty-six thousand, four hundred".