2505232400 has 180 divisors, whose sum is σ = 6674906112. Its totient is φ = 902880000.

The previous prime is 2505232391. The next prime is 2505232459. The reversal of 2505232400 is 42325052.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9244265 + ... + 9244535.

Almost surely, 2^2505232400 is an apocalyptic number.

2505232400 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 2505232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337453056).

2505232400 is an abundant number, since it is smaller than the sum of its proper divisors (4169673712).

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

2505232400 is a wasteful number, since it uses less digits than its factorization.

2505232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2505232400 is about 50052.2966506034. The cubic root of 2505232400 is about 1358.1550097327.

Adding to 2505232400 its reverse (42325052), we get a palindrome (2547557452).

The spelling of 2505232400 in words is "two billion, five hundred five million, two hundred thirty-two thousand, four hundred".