2205000000 has 504 divisors, whose sum is σ = 9190113192. Its totient is φ = 504000000.

The previous prime is 2204999987. The next prime is 2205000013. The reversal of 2205000000 is 5022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2204999987) and next prime (2205000013).

It can be written as a sum of positive squares in 4 ways, for example, as 2181263616 + 23736384 = 46704^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314999997 + ... + 315000003.

Almost surely, 2^2205000000 is an apocalyptic number.

2205000000 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 2205000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595056596).

2205000000 is an abundant number, since it is smaller than the sum of its proper divisors (6985113192).

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

2205000000 is an frugal number, since it uses more digits than its factorization.

2205000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2205000000 is about 46957.4275274956. The cubic root of 2205000000 is about 1301.5759979063.

Multiplying 2205000000 by its product of nonzero digits (20), we get a square (44100000000 = 210000²).

2205000000 divided by its product of nonzero digits (20) gives a square (110250000 = 10500²).

Adding to 2205000000 its reverse (5022), we get a palindrome (2205005022).

The spelling of 2205000000 in words is "two billion, two hundred five million", and thus it is an aban number.