2431114304 has 56 divisors (see below), whose sum is σ = 4966822680. Its totient is φ = 1179795456.

The previous prime is 2431114297. The next prime is 2431114307. The reversal of 2431114304 is 4034111342.

It can be written as a sum of positive squares in 4 ways, for example, as 1677721600 + 753392704 = 40960^2 + 27448^2 .

It is a super-2 number, since 2×2431114304² = 11820633518226808832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2431114304.

It is not an unprimeable number, because it can be changed into a prime (2431114307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204304 + ... + 1206320.

Almost surely, 2^2431114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483411340).

2431114304 is an abundant number, since it is smaller than the sum of its proper divisors (2535708376).

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

2431114304 is a wasteful number, since it uses less digits than its factorization.

2431114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2431114304 is about 49306.3312770277. The cubic root of 2431114304 is about 1344.6268924499.

Adding to 2431114304 its reverse (4034111342), we get a palindrome (6465225646).

The spelling of 2431114304 in words is "two billion, four hundred thirty-one million, one hundred fourteen thousand, three hundred four".