2164167720 has 512 divisors, whose sum is σ = 8629286400. Its totient is φ = 481489920.

The previous prime is 2164167673. The next prime is 2164167721. The reversal of 2164167720 is 277614612.

2164167720 is a `hidden beast` number, since 2 + 1 + 641 + 6 + 7 + 7 + 2 + 0 = 666.

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 (2164167721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12509554 + ... + 12509726.

It is an arithmetic number, because the mean of its divisors is an integer number (16854075).

Almost surely, 2^2164167720 is an apocalyptic number.

2164167720 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 2164167720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314643200).

2164167720 is an abundant number, since it is smaller than the sum of its proper divisors (6465118680).

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

2164167720 is a wasteful number, since it uses less digits than its factorization.

2164167720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2164167720 is about 46520.6160750263. The cubic root of 2164167720 is about 1293.4916762121.

The spelling of 2164167720 in words is "two billion, one hundred sixty-four million, one hundred sixty-seven thousand, seven hundred twenty".