2717966016 has 280 divisors, whose sum is σ = 8397758160. Its totient is φ = 868589568.

The previous prime is 2717965969. The next prime is 2717966089. The reversal of 2717966016 is 6106697172.

It is a happy number.

2717966016 is a `hidden beast` number, since 27 + 17 + 9 + 6 + 601 + 6 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 19839100 + ... + 19839236.

Almost surely, 2^2717966016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2717966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198879080).

2717966016 is an abundant number, since it is smaller than the sum of its proper divisors (5679792144).

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

2717966016 is a wasteful number, since it uses less digits than its factorization.

2717966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2717966016 is about 52134.1156633543. The cubic root of 2717966016 is about 1395.5583751519.

The spelling of 2717966016 in words is "two billion, seven hundred seventeen million, nine hundred sixty-six thousand, sixteen".