2312450400 has 288 divisors, whose sum is σ = 8180288928. Its totient is φ = 564019200.

The previous prime is 2312450377. The next prime is 2312450407. The reversal of 2312450400 is 40542132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312450407) 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 47 ways as a sum of consecutive naturals, for example, 4274130 + ... + 4274670.

It is an arithmetic number, because the mean of its divisors is an integer number (28403781).

Almost surely, 2^2312450400 is an apocalyptic number.

2312450400 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 2312450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090144464).

2312450400 is an abundant number, since it is smaller than the sum of its proper divisors (5867838528).

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

2312450400 is a wasteful number, since it uses less digits than its factorization.

2312450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2312450400 is about 48087.9444351700. The cubic root of 2312450400 is about 1322.3836635908.

Adding to 2312450400 its reverse (40542132), we get a palindrome (2352992532).

The spelling of 2312450400 in words is "two billion, three hundred twelve million, four hundred fifty thousand, four hundred".