2205938020 has 192 divisors, whose sum is σ = 5867769600. Its totient is φ = 684195840.

The previous prime is 2205937991. The next prime is 2205938087. The reversal of 2205938020 is 208395022.

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 63 ways as a sum of consecutive naturals, for example, 2868196 + ... + 2868964.

It is an arithmetic number, because the mean of its divisors is an integer number (30561300).

Almost surely, 2^2205938020 is an apocalyptic number.

2205938020 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 2205938020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933884800).

2205938020 is an abundant number, since it is smaller than the sum of its proper divisors (3661831580).

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

2205938020 is a wasteful number, since it uses less digits than its factorization.

2205938020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2205938020 is about 46967.4144487431. The cubic root of 2205938020 is about 1301.7605377751.

The spelling of 2205938020 in words is "two billion, two hundred five million, nine hundred thirty-eight thousand, twenty".