2205167160 has 128 divisors (see below), whose sum is σ = 7571128320. Its totient is φ = 503334912.

The previous prime is 2205167149. The next prime is 2205167161. The reversal of 2205167160 is 617615022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205167161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819337 + ... + 822023.

It is an arithmetic number, because the mean of its divisors is an integer number (59149440).

Almost surely, 2^2205167160 is an apocalyptic number.

2205167160 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 2205167160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785564160).

2205167160 is an abundant number, since it is smaller than the sum of its proper divisors (5365961160).

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

2205167160 is a wasteful number, since it uses less digits than its factorization.

2205167160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2205167160 is about 46959.2074038734. The cubic root of 2205167160 is about 1301.6088876941.

The spelling of 2205167160 in words is "two billion, two hundred five million, one hundred sixty-seven thousand, one hundred sixty".