2164656567 has 8 divisors (see below), whose sum is σ = 3038114560. Its totient is φ = 1367151480.

The previous prime is 2164656551. The next prime is 2164656577. The reversal of 2164656567 is 7656564612.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2164656567 - 2⁴ = 2164656551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164656577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18988159 + ... + 18988272.

It is an arithmetic number, because the mean of its divisors is an integer number (379764320).

Almost surely, 2^2164656567 is an apocalyptic number.

2164656567 is a deficient number, since it is larger than the sum of its proper divisors (873457993).

2164656567 is a wasteful number, since it uses less digits than its factorization.

2164656567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37976453.

The product of its digits is 1814400, while the sum is 48.

The square root of 2164656567 is about 46525.8698682787. The cubic root of 2164656567 is about 1293.5890611352.

The spelling of 2164656567 in words is "two billion, one hundred sixty-four million, six hundred fifty-six thousand, five hundred sixty-seven".