2205010000 has 100 divisors (see below), whose sum is σ = 5571241632. Its totient is φ = 843568000.

The previous prime is 2205009923. The next prime is 2205010103. The reversal of 2205010000 is 105022.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 225207 + ... + 234793.

Almost surely, 2^2205010000 is an apocalyptic number.

2205010000 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 2205010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785620816).

2205010000 is an abundant number, since it is smaller than the sum of its proper divisors (3366231632).

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

2205010000 is an equidigital number, since it uses as much as digits as its factorization.

2205010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2205010000 is about 46957.5340068024. The cubic root of 2205010000 is about 1301.5779655163.

Adding to 2205010000 its reverse (105022), we get a palindrome (2205115022).

The spelling of 2205010000 in words is "two billion, two hundred five million, ten thousand".