2916352560 has 320 divisors, whose sum is σ = 10587179520. Its totient is φ = 656547840.

The previous prime is 2916352553. The next prime is 2916352577. The reversal of 2916352560 is 652536192.

It is a super-2 number, since 2×2916352560² = 17010224508437107200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2657932 + ... + 2659028.

It is an arithmetic number, because the mean of its divisors is an integer number (33084936).

Almost surely, 2^2916352560 is an apocalyptic number.

2916352560 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 2916352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293589760).

2916352560 is an abundant number, since it is smaller than the sum of its proper divisors (7670826960).

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

2916352560 is a wasteful number, since it uses less digits than its factorization.

2916352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 2916352560 is about 54003.2643457782. The cubic root of 2916352560 is about 1428.7185220349.

The spelling of 2916352560 in words is "two billion, nine hundred sixteen million, three hundred fifty-two thousand, five hundred sixty".