2431340440 has 64 divisors (see below), whose sum is σ = 5654772000. Its totient is φ = 940323840.

The previous prime is 2431340423. The next prime is 2431340449. The reversal of 2431340440 is 440431342.

2431340440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431340440² = 11822832670358787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431340449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135516 + ... + 152404.

Almost surely, 2^2431340440 is an apocalyptic number.

2431340440 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 2431340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827386000).

2431340440 is an abundant number, since it is smaller than the sum of its proper divisors (3223431560).

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

2431340440 is a wasteful number, since it uses less digits than its factorization.

2431340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2431340440 is about 49308.6243977664. The cubic root of 2431340440 is about 1344.6685824024.

Adding to 2431340440 its reverse (440431342), we get a palindrome (2871771782).

The spelling of 2431340440 in words is "two billion, four hundred thirty-one million, three hundred forty thousand, four hundred forty".