2431278864 has 135 divisors (see below), whose sum is σ = 7928601447. Its totient is φ = 693467712.

The previous prime is 2431278793. The next prime is 2431278901. The reversal of 2431278864 is 4688721342.

It is a happy number.

The square root of 2431278864 is 49308.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2431278864² = 11822233829066260992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4141579 + ... + 4142165.

Almost surely, 2^2431278864 is an apocalyptic number.

2431278864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2431278864 is the 49308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431278864

2431278864 is an abundant number, since it is smaller than the sum of its proper divisors (5497322583).

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

2431278864 is an equidigital number, since it uses as much as digits as its factorization.

2431278864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 599 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The cubic root of 2431278864 is about 1344.6572306380.

The spelling of 2431278864 in words is "two billion, four hundred thirty-one million, two hundred seventy-eight thousand, eight hundred sixty-four".