2218610160 has 480 divisors, whose sum is σ = 8657445888. Its totient is φ = 504299520.

The previous prime is 2218610047. The next prime is 2218610161. The reversal of 2218610160 is 610168122.

2218610160 is a `hidden beast` number, since 22 + 18 + 610 + 16 + 0 = 666.

It is a super-3 number, since 3×2218610160³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218610161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11615665 + ... + 11615855.

Almost surely, 2^2218610160 is an apocalyptic number.

2218610160 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 2218610160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328722944).

2218610160 is an abundant number, since it is smaller than the sum of its proper divisors (6438835728).

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

2218610160 is a wasteful number, since it uses less digits than its factorization.

2218610160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2218610160 is about 47102.1247928371. The cubic root of 2218610160 is about 1304.2484596883.

Adding to 2218610160 its reverse (610168122), we get a palindrome (2828778282).

The spelling of 2218610160 in words is "two billion, two hundred eighteen million, six hundred ten thousand, one hundred sixty".