2117468160 has 216 divisors, whose sum is σ = 7360975440. Its totient is φ = 563085312.

The previous prime is 2117468141. The next prime is 2117468161. The reversal of 2117468160 is 618647112.

It is a happy number.

2117468160 is a `hidden beast` number, since 21 + 17 + 468 + 160 = 666.

It is a super-2 number, since 2×2117468160² = 8967342817227571200, 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 (2117468161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898061 + ... + 5898419.

It is an arithmetic number, because the mean of its divisors is an integer number (34078590).

Almost surely, 2^2117468160 is an apocalyptic number.

2117468160 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 2117468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680487720).

2117468160 is an abundant number, since it is smaller than the sum of its proper divisors (5243507280).

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

2117468160 is an frugal number, since it uses more digits than its factorization.

2117468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2117468160 is about 46015.9554937198. The cubic root of 2117468160 is about 1284.1200574845.

The spelling of 2117468160 in words is "two billion, one hundred seventeen million, four hundred sixty-eight thousand, one hundred sixty".