2431112640 has 168 divisors, whose sum is σ = 8484687120. Its totient is φ = 589332480.

The previous prime is 2431112617. The next prime is 2431112689. The reversal of 2431112640 is 462111342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2431112640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105696 + ... + 126624.

It is an arithmetic number, because the mean of its divisors is an integer number (50504090).

Almost surely, 2^2431112640 is an apocalyptic number.

2431112640 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 2431112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242343560).

2431112640 is an abundant number, since it is smaller than the sum of its proper divisors (6053574480).

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

2431112640 is a wasteful number, since it uses less digits than its factorization.

2431112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20971 (or 20950 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2431112640 is about 49306.3144029241. The cubic root of 2431112640 is about 1344.6265856688.

Adding to 2431112640 its reverse (462111342), we get a palindrome (2893223982).

The spelling of 2431112640 in words is "two billion, four hundred thirty-one million, one hundred twelve thousand, six hundred forty".