2205108080 has 320 divisors, whose sum is σ = 6659573760. Its totient is φ = 660897792.

The previous prime is 2205108019. The next prime is 2205108121. The reversal of 2205108080 is 808015022.

2205108080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13204157 + ... + 13204323.

It is an arithmetic number, because the mean of its divisors is an integer number (20811168).

Almost surely, 2^2205108080 is an apocalyptic number.

2205108080 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 2205108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329786880).

2205108080 is an abundant number, since it is smaller than the sum of its proper divisors (4454465680).

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

2205108080 is a wasteful number, since it uses less digits than its factorization.

2205108080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 2205108080 is about 46958.5783430461. The cubic root of 2205108080 is about 1301.5972635201.

The spelling of 2205108080 in words is "two billion, two hundred five million, one hundred eight thousand, eighty".