3116242560 has 128 divisors (see below), whose sum is σ = 10275724800. Its totient is φ = 802328576.

The previous prime is 3116242513. The next prime is 3116242567. The reversal of 3116242560 is 652426113.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (3116242567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27697 + ... + 83663.

It is an arithmetic number, because the mean of its divisors is an integer number (80279100).

Almost surely, 2^3116242560 is an apocalyptic number.

3116242560 is a gapful number since it is divisible by the number (30) 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 3116242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137862400).

3116242560 is an abundant number, since it is smaller than the sum of its proper divisors (7159482240).

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

3116242560 is a wasteful number, since it uses less digits than its factorization.

3116242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56018 (or 56006 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3116242560 is about 55823.3155590028. The cubic root of 3116242560 is about 1460.6418895162.

Adding to 3116242560 its reverse (652426113), we get a palindrome (3768668673).

The spelling of 3116242560 in words is "three billion, one hundred sixteen million, two hundred forty-two thousand, five hundred sixty".