2122167168 has 128 divisors (see below), whose sum is σ = 6832857600. Its totient is φ = 643069440.

The previous prime is 2122167167. The next prime is 2122167169. The reversal of 2122167168 is 8617612212.

It is an interprime number because it is at equal distance from previous prime (2122167167) and next prime (2122167169).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122167167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10105 + ... + 65927.

It is an arithmetic number, because the mean of its divisors is an integer number (53381700).

Almost surely, 2^2122167168 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 2122167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416428800).

2122167168 is an abundant number, since it is smaller than the sum of its proper divisors (4710690432).

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

2122167168 is a wasteful number, since it uses less digits than its factorization.

2122167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55857 (or 55839 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 2122167168 is about 46066.9856621855. The cubic root of 2122167168 is about 1285.0692464715.

The spelling of 2122167168 in words is "two billion, one hundred twenty-two million, one hundred sixty-seven thousand, one hundred sixty-eight".