2431242240 has 208 divisors, whose sum is σ = 8891887488. Its totient is φ = 555614208.

The previous prime is 2431242227. The next prime is 2431242251. The reversal of 2431242240 is 422421342.

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 2431242240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427254 + ... + 432906.

Almost surely, 2^2431242240 is an apocalyptic number.

2431242240 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 2431242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445943744).

2431242240 is an abundant number, since it is smaller than the sum of its proper divisors (6460645248).

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

2431242240 is an equidigital number, since it uses as much as digits as its factorization.

2431242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2431242240 is about 49307.6286187036. The cubic root of 2431242240 is about 1344.6504787766.

Adding to 2431242240 its reverse (422421342), we get a palindrome (2853663582).

The spelling of 2431242240 in words is "two billion, four hundred thirty-one million, two hundred forty-two thousand, two hundred forty".