2917672960 has 96 divisors (see below), whose sum is σ = 7027020000. Its totient is φ = 1162690560.

The previous prime is 2917672943. The next prime is 2917672963. The reversal of 2917672960 is 692767192.

It is not an unprimeable number, because it can be changed into a prime (2917672963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5109475 + ... + 5110045.

It is an arithmetic number, because the mean of its divisors is an integer number (73198125).

Almost surely, 2^2917672960 is an apocalyptic number.

2917672960 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 2917672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513510000).

2917672960 is an abundant number, since it is smaller than the sum of its proper divisors (4109347040).

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

2917672960 is an equidigital number, since it uses as much as digits as its factorization.

2917672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 2917672960 is about 54015.4881492336. The cubic root of 2917672960 is about 1428.9341104298.

The spelling of 2917672960 in words is "two billion, nine hundred seventeen million, six hundred seventy-two thousand, nine hundred sixty".