2315242560 has 336 divisors, whose sum is σ = 7928798976. Its totient is φ = 572030976.

The previous prime is 2315242547. The next prime is 2315242577. The reversal of 2315242560 is 652425132.

2315242560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2315242560² = 10720696223270707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23868432 + ... + 23868528.

It is an arithmetic number, because the mean of its divisors is an integer number (23597616).

Almost surely, 2^2315242560 is an apocalyptic number.

2315242560 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 2315242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964399488).

2315242560 is an abundant number, since it is smaller than the sum of its proper divisors (5613556416).

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

2315242560 is a wasteful number, since it uses less digits than its factorization.

2315242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2315242560 is about 48116.9674854931. The cubic root of 2315242560 is about 1322.9156853340.

Adding to 2315242560 its reverse (652425132), we get a palindrome (2967667692).

The spelling of 2315242560 in words is "two billion, three hundred fifteen million, two hundred forty-two thousand, five hundred sixty".