2167699968 has 480 divisors, whose sum is σ = 7864496640. Its totient is φ = 582266880.

The previous prime is 2167699957. The next prime is 2167699973. The reversal of 2167699968 is 8699967612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (17635968) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16547263 + ... + 16547393.

It is an arithmetic number, because the mean of its divisors is an integer number (16384368).

Almost surely, 2^2167699968 is an apocalyptic number.

2167699968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932248320).

2167699968 is an abundant number, since it is smaller than the sum of its proper divisors (5696796672).

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

2167699968 is an equidigital number, since it uses as much as digits as its factorization.

2167699968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 2167699968 is about 46558.5649263377. The cubic root of 2167699968 is about 1294.1950181737.

The spelling of 2167699968 in words is "two billion, one hundred sixty-seven million, six hundred ninety-nine thousand, nine hundred sixty-eight".