2171616720 has 320 divisors, whose sum is σ = 8774438400. Its totient is φ = 431161344.

The previous prime is 2171616719. The next prime is 2171616749. The reversal of 2171616720 is 276161712.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 368356 + ... + 374204.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^2171616720 is an apocalyptic number.

2171616720 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 2171616720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2171616720 is an abundant number, since it is smaller than the sum of its proper divisors (6602821680).

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

2171616720 is a wasteful number, since it uses less digits than its factorization.

2171616720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 2171616720 is about 46600.6085797171. The cubic root of 2171616720 is about 1294.9740298803.

The spelling of 2171616720 in words is "two billion, one hundred seventy-one million, six hundred sixteen thousand, seven hundred twenty".