2210667165689 has 2 divisors, whose sum is σ = 2210667165690. Its totient is φ = 2210667165688.

The previous prime is 2210667165617. The next prime is 2210667165691. The reversal of 2210667165689 is 9865617660122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1594936616464 + 615730549225 = 1262908^2 + 784685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2210667165689 is a prime.

It is a super-3 number, since 3×2210667165689³ (a number of 38 digits) contains 333 as substring.

Together with 2210667165691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2210667165089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105333582844 + 1105333582845.

It is an arithmetic number, because the mean of its divisors is an integer number (1105333582845).

Almost surely, 2^{2210667165689} is an apocalyptic number.

It is an amenable number.

2210667165689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210667165689 is an equidigital number, since it uses as much as digits as its factorization.

2210667165689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 2210667165689 in words is "two trillion, two hundred ten billion, six hundred sixty-seven million, one hundred sixty-five thousand, six hundred eighty-nine".