2205306020 has 24 divisors (see below), whose sum is σ = 4632681984. Its totient is φ = 881829216.

The previous prime is 2205305989. The next prime is 2205306031. The reversal of 2205306020 is 206035022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2205305983 and 2205306001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49469 + ... + 82811.

It is an arithmetic number, because the mean of its divisors is an integer number (193028416).

Almost surely, 2^2205306020 is an apocalyptic number.

2205306020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205306020 is an abundant number, since it is smaller than the sum of its proper divisors (2427375964).

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

2205306020 is a wasteful number, since it uses less digits than its factorization.

2205306020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36659 (or 36657 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2205306020 is about 46960.6858978870. The cubic root of 2205306020 is about 1301.6362080139.

The spelling of 2205306020 in words is "two billion, two hundred five million, three hundred six thousand, twenty".