2205560800 has 72 divisors (see below), whose sum is σ = 5391451800. Its totient is φ = 881057280.

The previous prime is 2205560779. The next prime is 2205560803. The reversal of 2205560800 is 80655022.

2205560800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205560803) 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, 853911 + ... + 856489.

It is an arithmetic number, because the mean of its divisors is an integer number (74881275).

Almost surely, 2^2205560800 is an apocalyptic number.

2205560800 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 2205560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695725900).

2205560800 is an abundant number, since it is smaller than the sum of its proper divisors (3185891000).

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

2205560800 is a wasteful number, since it uses less digits than its factorization.

2205560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2205560800 is about 46963.3985141621. The cubic root of 2205560800 is about 1301.6863322899.

The spelling of 2205560800 in words is "two billion, two hundred five million, five hundred sixty thousand, eight hundred".