2164906170 has 256 divisors, whose sum is σ = 7006003200. Its totient is φ = 465984576.

The previous prime is 2164906147. The next prime is 2164906171. The reversal of 2164906170 is 716094612.

2164906170 is a `hidden beast` number, since 2 + 1 + 649 + 0 + 6 + 1 + 7 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2164906171) 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 127 ways as a sum of consecutive naturals, for example, 12963427 + ... + 12963593.

It is an arithmetic number, because the mean of its divisors is an integer number (27367200).

Almost surely, 2^2164906170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164906170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503001600).

2164906170 is an abundant number, since it is smaller than the sum of its proper divisors (4841097030).

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

2164906170 is a wasteful number, since it uses less digits than its factorization.

2164906170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2164906170 is about 46528.5522018470. The cubic root of 2164906170 is about 1293.6387797689.

The spelling of 2164906170 in words is "two billion, one hundred sixty-four million, nine hundred six thousand, one hundred seventy".