2205516800 has 132 divisors (see below), whose sum is σ = 5527612356. Its totient is φ = 872448000.

The previous prime is 2205516799. The next prime is 2205516809. The reversal of 2205516800 is 86155022.

It can be written as a sum of positive squares in 6 ways, for example, as 31719424 + 2173797376 = 5632^2 + 46624^2 .

It is not an unprimeable number, because it can be changed into a prime (2205516809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2585174 + ... + 2586026.

Almost surely, 2^2205516800 is an apocalyptic number.

2205516800 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 2205516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763806178).

2205516800 is an abundant number, since it is smaller than the sum of its proper divisors (3322095556).

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

2205516800 is a wasteful number, since it uses less digits than its factorization.

2205516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 2205516800 is about 46962.9300619116. The cubic root of 2205516800 is about 1301.6776762028.

The spelling of 2205516800 in words is "two billion, two hundred five million, five hundred sixteen thousand, eight hundred".