2431013440 has 56 divisors (see below), whose sum is σ = 5846243832. Its totient is φ = 962764800.

The previous prime is 2431013423. The next prime is 2431013441. The reversal of 2431013440 is 443101342.

It can be written as a sum of positive squares in 4 ways, for example, as 275825664 + 2155187776 = 16608^2 + 46424^2 .

It is not an unprimeable number, because it can be changed into a prime (2431013441) 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 7 ways as a sum of consecutive naturals, for example, 5289 + ... + 69928.

Almost surely, 2^2431013440 is an apocalyptic number.

2431013440 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 2431013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923121916).

2431013440 is an abundant number, since it is smaller than the sum of its proper divisors (3415230392).

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

2431013440 is a wasteful number, since it uses less digits than its factorization.

2431013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75335 (or 75325 counting only the distinct ones).

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

The square root of 2431013440 is about 49305.3084363134. The cubic root of 2431013440 is about 1344.6082965435.

Adding to 2431013440 its reverse (443101342), we get a palindrome (2874114782).

The spelling of 2431013440 in words is "two billion, four hundred thirty-one million, thirteen thousand, four hundred forty".