2205964800 has 480 divisors, whose sum is σ = 8737565760. Its totient is φ = 541900800.

The previous prime is 2205964793. The next prime is 2205964841. The reversal of 2205964800 is 84695022.

It is a happy number.

2205964800 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 9 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492555 + ... + 4493045.

It is an arithmetic number, because the mean of its divisors is an integer number (18203262).

Almost surely, 2^2205964800 is an apocalyptic number.

2205964800 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 2205964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368782880).

2205964800 is an abundant number, since it is smaller than the sum of its proper divisors (6531600960).

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

2205964800 is a wasteful number, since it uses less digits than its factorization.

2205964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2205964800 is about 46967.6995391514. The cubic root of 2205964800 is about 1301.7658055275.

The spelling of 2205964800 in words is "two billion, two hundred five million, nine hundred sixty-four thousand, eight hundred".