2117720160 has 192 divisors, whose sum is σ = 7612920000. Its totient is φ = 549421056.

The previous prime is 2117720159. The next prime is 2117720263. The reversal of 2117720160 is 610277112.

2117720160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153216 + ... + 166464.

It is an arithmetic number, because the mean of its divisors is an integer number (39650625).

Almost surely, 2^2117720160 is an apocalyptic number.

2117720160 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 2117720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806460000).

2117720160 is an abundant number, since it is smaller than the sum of its proper divisors (5495199840).

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

2117720160 is a wasteful number, since it uses less digits than its factorization.

2117720160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13310 (or 13296 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 2117720160 is about 46018.6935929303. The cubic root of 2117720160 is about 1284.1709965295.

Adding to 2117720160 its reverse (610277112), we get a palindrome (2727997272).

The spelling of 2117720160 in words is "two billion, one hundred seventeen million, seven hundred twenty thousand, one hundred sixty".