2315424384 has 288 divisors, whose sum is σ = 8250372000. Its totient is φ = 610301952.

The previous prime is 2315424373. The next prime is 2315424407. The reversal of 2315424384 is 4834245132.

2315424384 is a `hidden beast` number, since 2 + 31 + 542 + 4 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2315424384² = 10722380156043558912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1361967 + ... + 1363665.

It is an arithmetic number, because the mean of its divisors is an integer number (28647125).

Almost surely, 2^2315424384 is an apocalyptic number.

2315424384 is a gapful number since it is divisible by the number (24) 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 2315424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125186000).

2315424384 is an abundant number, since it is smaller than the sum of its proper divisors (5934947616).

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

2315424384 is a wasteful number, since it uses less digits than its factorization.

2315424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1724 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2315424384 is about 48118.8568442768. The cubic root of 2315424384 is about 1322.9503154745.

The spelling of 2315424384 in words is "two billion, three hundred fifteen million, four hundred twenty-four thousand, three hundred eighty-four".