2916268320 has 192 divisors, whose sum is σ = 10713427200. Its totient is φ = 666537984.

The previous prime is 2916268261. The next prime is 2916268337. The reversal of 2916268320 is 238626192.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155784 + ... + 173496.

It is an arithmetic number, because the mean of its divisors is an integer number (55799100).

Almost surely, 2^2916268320 is an apocalyptic number.

2916268320 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 2916268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356713600).

2916268320 is an abundant number, since it is smaller than the sum of its proper divisors (7797158880).

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

2916268320 is a wasteful number, since it uses less digits than its factorization.

2916268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17752 (or 17730 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2916268320 is about 54002.4843872946. The cubic root of 2916268320 is about 1428.7047655354.

The spelling of 2916268320 in words is "two billion, nine hundred sixteen million, two hundred sixty-eight thousand, three hundred twenty".