2431134400 has 84 divisors (see below), whose sum is σ = 6017373792. Its totient is φ = 966722560.

The previous prime is 2431134383. The next prime is 2431134451. The reversal of 2431134400 is 44311342.

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 11 ways as a sum of consecutive naturals, for example, 272409 + ... + 281191.

Almost surely, 2^2431134400 is an apocalyptic number.

2431134400 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 2431134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008686896).

2431134400 is an abundant number, since it is smaller than the sum of its proper divisors (3586239392).

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

2431134400 is a wasteful number, since it uses less digits than its factorization.

2431134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2431134400 is about 49306.5350638229. The cubic root of 2431134400 is about 1344.6305974104.

Adding to 2431134400 its reverse (44311342), we get a palindrome (2475445742).

The spelling of 2431134400 in words is "two billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred".