2308382440 has 256 divisors, whose sum is σ = 6642155520. Its totient is φ = 702673920.

The previous prime is 2308382413. The next prime is 2308382467. The reversal of 2308382440 is 442838032.

2308382440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2308382413) and next prime (2308382467).

It is a junction number, because it is equal to n+sod(n) for n = 2308382396 and 2308382405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17621175 + ... + 17621305.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^2308382440 is an apocalyptic number.

2308382440 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 2308382440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321077760).

2308382440 is an abundant number, since it is smaller than the sum of its proper divisors (4333773080).

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

2308382440 is a wasteful number, since it uses less digits than its factorization.

2308382440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 2308382440 is about 48045.6287293652. The cubic root of 2308382440 is about 1321.6077822520.

The spelling of 2308382440 in words is "two billion, three hundred eight million, three hundred eighty-two thousand, four hundred forty".