2170915968 has 128 divisors (see below), whose sum is σ = 6230649600. Its totient is φ = 665763840.

The previous prime is 2170915949. The next prime is 2170916009. The reversal of 2170915968 is 8695190712.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2170915968² = 9425752280234754048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2151048 + ... + 2152056.

It is an arithmetic number, because the mean of its divisors is an integer number (48676950).

Almost surely, 2^2170915968 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 2170915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115324800).

2170915968 is an abundant number, since it is smaller than the sum of its proper divisors (4059733632).

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

2170915968 is a wasteful number, since it uses less digits than its factorization.

2170915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 2170915968 is about 46593.0892729812. The cubic root of 2170915968 is about 1294.8347245632.

The spelling of 2170915968 in words is "two billion, one hundred seventy million, nine hundred fifteen thousand, nine hundred sixty-eight".