2315809440 has 576 divisors, whose sum is σ = 9580806144. Its totient is φ = 517321728.

The previous prime is 2315809439. The next prime is 2315809451. The reversal of 2315809440 is 449085132.

2315809440 is a `hidden beast` number, since 2 + 31 + 580 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×2315809440² = 10725946724786227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2315809395 and 2315809404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18234657 + ... + 18234783.

It is an arithmetic number, because the mean of its divisors is an integer number (16633344).

Almost surely, 2^2315809440 is an apocalyptic number.

2315809440 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 2315809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790403072).

2315809440 is an abundant number, since it is smaller than the sum of its proper divisors (7264996704).

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

2315809440 is a wasteful number, since it uses less digits than its factorization.

2315809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2315809440 is about 48122.8577705024. The cubic root of 2315809440 is about 1323.0236471316.

The spelling of 2315809440 in words is "two billion, three hundred fifteen million, eight hundred nine thousand, four hundred forty".