2205033305205 has 32 divisors (see below), whose sum is σ = 3602961077760. Its totient is φ = 1151151472640.

The previous prime is 2205033305179. The next prime is 2205033305303. The reversal of 2205033305205 is 5025033305022.

It is not a de Polignac number, because 2205033305205 - 2⁵ = 2205033305173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875020 + ... + 3560309.

It is an arithmetic number, because the mean of its divisors is an integer number (112592533680).

Almost surely, 2^{2205033305205} is an apocalyptic number.

It is an amenable number.

2205033305205 is a deficient number, since it is larger than the sum of its proper divisors (1397927772555).

2205033305205 is a wasteful number, since it uses less digits than its factorization.

2205033305205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435821.

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 2205033305205 in words is "two trillion, two hundred five billion, thirty-three million, three hundred five thousand, two hundred five".