2170495656 has 256 divisors, whose sum is σ = 7103116800. Its totient is φ = 601344000.

The previous prime is 2170495651. The next prime is 2170495661. The reversal of 2170495656 is 6565940712.

It is an interprime number because it is at equal distance from previous prime (2170495651) and next prime (2170495661).

It is a super-2 number, since 2×2170495656² = 9422102785429740672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2170495651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9315316 + ... + 9315548.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 2^2170495656 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 2170495656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551558400).

2170495656 is an abundant number, since it is smaller than the sum of its proper divisors (4932621144).

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

2170495656 is a wasteful number, since it uses less digits than its factorization.

2170495656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2170495656 is about 46588.5786003394. The cubic root of 2170495656 is about 1294.7511546619.

The spelling of 2170495656 in words is "two billion, one hundred seventy million, four hundred ninety-five thousand, six hundred fifty-six".