2315010314304 has 224 divisors, whose sum is σ = 7240208227200. Its totient is φ = 722833735680.

The previous prime is 2315010314293. The next prime is 2315010314311. The reversal of 2315010314304 is 4034130105132.

It is a happy number.

2315010314304 is a `hidden beast` number, since 2 + 31 + 5 + 0 + 10 + 314 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6011592 + ... + 6385080.

Almost surely, 2^{2315010314304} is an apocalyptic number.

2315010314304 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 2315010314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620104113600).

2315010314304 is an abundant number, since it is smaller than the sum of its proper divisors (4925197912896).

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

2315010314304 is a wasteful number, since it uses less digits than its factorization.

2315010314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373738 (or 373722 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2315010314304 its reverse (4034130105132), we get a palindrome (6349140419436).

The spelling of 2315010314304 in words is "two trillion, three hundred fifteen billion, ten million, three hundred fourteen thousand, three hundred four".