2205182160 has 120 divisors (see below), whose sum is σ = 7414284384. Its totient is φ = 587370240.

The previous prime is 2205182159. The next prime is 2205182173. The reversal of 2205182160 is 612815022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095555 + ... + 1097565.

Almost surely, 2^2205182160 is an apocalyptic number.

2205182160 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 2205182160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707142192).

2205182160 is an abundant number, since it is smaller than the sum of its proper divisors (5209102224).

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

2205182160 is a wasteful number, since it uses less digits than its factorization.

2205182160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2205182160 is about 46959.3671166893. The cubic root of 2205182160 is about 1301.6118389577.

Adding to 2205182160 its reverse (612815022), we get a palindrome (2817997182).

The spelling of 2205182160 in words is "two billion, two hundred five million, one hundred eighty-two thousand, one hundred sixty".