2205160 has 32 divisors (see below), whose sum is σ = 5135400. Its totient is φ = 851200.

The previous prime is 2205157. The next prime is 2205167. The reversal of 2205160 is 615022.

2205160 = 44² + 45² + ... + 188².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1295044 + 910116 = 1138^2 + 954^2 .

It is not an unprimeable number, because it can be changed into a prime (2205167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 2110.

2^2205160 is an apocalyptic number.

2205160 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 2205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567700).

2205160 is an abundant number, since it is smaller than the sum of its proper divisors (2930240).

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

2205160 is a wasteful number, since it uses less digits than its factorization.

2205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2205160 is about 1484.9781143168. The cubic root of 2205160 is about 130.1607478953.

The spelling of 2205160 in words is "two million, two hundred five thousand, one hundred sixty".