2167326720 has 576 divisors, whose sum is σ = 8514192960. Its totient is φ = 525533184.

The previous prime is 2167326703. The next prime is 2167326727. The reversal of 2167326720 is 276237612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2167326720² = 9394610222451916800, which contains 22 as substring.

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 (2167326727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32348127 + ... + 32348193.

It is an arithmetic number, because the mean of its divisors is an integer number (14781585).

Almost surely, 2^2167326720 is an apocalyptic number.

2167326720 is a gapful number since it is divisible by the number (20) 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 2167326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257096480).

2167326720 is an abundant number, since it is smaller than the sum of its proper divisors (6346866240).

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

2167326720 is an equidigital number, since it uses as much as digits as its factorization.

2167326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2167326720 is about 46554.5563828075. The cubic root of 2167326720 is about 1294.1207330732.

The spelling of 2167326720 in words is "two billion, one hundred sixty-seven million, three hundred twenty-six thousand, seven hundred twenty".