2431144240 has 160 divisors (see below), whose sum is σ = 7035264000. Its totient is φ = 762338304.

The previous prime is 2431144223. The next prime is 2431144253. The reversal of 2431144240 is 424411342.

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 31 ways as a sum of consecutive naturals, for example, 304621 + ... + 312499.

It is an arithmetic number, because the mean of its divisors is an integer number (43970400).

Almost surely, 2^2431144240 is an apocalyptic number.

2431144240 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 2431144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517632000).

2431144240 is an abundant number, since it is smaller than the sum of its proper divisors (4604119760).

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

2431144240 is a wasteful number, since it uses less digits than its factorization.

2431144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2431144240 is about 49306.6348476551. The cubic root of 2431144240 is about 1344.6324115357.

Adding to 2431144240 its reverse (424411342), we get a palindrome (2855555582).

The spelling of 2431144240 in words is "two billion, four hundred thirty-one million, one hundred forty-four thousand, two hundred forty".