2205041020 has 192 divisors, whose sum is σ = 5872849920. Its totient is φ = 681018624.

The previous prime is 2205040973. The next prime is 2205041021. The reversal of 2205041020 is 201405022.

It is a junction number, because it is equal to n+sod(n) for n = 2205040985 and 2205041003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205041021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20607807 + ... + 20607913.

It is an arithmetic number, because the mean of its divisors is an integer number (30587760).

Almost surely, 2^2205041020 is an apocalyptic number.

2205041020 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 2205041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936424960).

2205041020 is an abundant number, since it is smaller than the sum of its proper divisors (3667808900).

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

2205041020 is a wasteful number, since it uses less digits than its factorization.

2205041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2205041020 is about 46957.8643040758. The cubic root of 2205041020 is about 1301.5840690048.

Adding to 2205041020 its reverse (201405022), we get a palindrome (2406446042).

The spelling of 2205041020 in words is "two billion, two hundred five million, forty-one thousand, twenty".