2917728216 has 288 divisors, whose sum is σ = 9064560960. Its totient is φ = 878656896.

The previous prime is 2917728211. The next prime is 2917728311. The reversal of 2917728216 is 6128277192.

It is a happy number.

2917728216 is a `hidden beast` number, since 291 + 77 + 282 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2917728211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27268435 + ... + 27268541.

It is an arithmetic number, because the mean of its divisors is an integer number (31474170).

Almost surely, 2^2917728216 is an apocalyptic number.

2917728216 is a gapful number since it is divisible by the number (26) 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 2917728216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532280480).

2917728216 is an abundant number, since it is smaller than the sum of its proper divisors (6146832744).

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

2917728216 is a wasteful number, since it uses less digits than its factorization.

2917728216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 2917728216 is about 54015.9996297393. Note that the first 3 decimals coincide. The cubic root of 2917728216 is about 1428.9431309387.

The spelling of 2917728216 in words is "two billion, nine hundred seventeen million, seven hundred twenty-eight thousand, two hundred sixteen".