2205208800 has 180 divisors, whose sum is σ = 8042204016. Its totient is φ = 588038400.

The previous prime is 2205208787. The next prime is 2205208801. The reversal of 2205208800 is 88025022.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205208801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 47785 + ... + 81815.

Almost surely, 2^2205208800 is an apocalyptic number.

2205208800 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 2205208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021102008).

2205208800 is an abundant number, since it is smaller than the sum of its proper divisors (5836995216).

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

2205208800 is a wasteful number, since it uses less digits than its factorization.

2205208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34063 (or 34041 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2205208800 is about 46959.6507653113. The cubic root of 2205208800 is about 1301.6170803690.

The spelling of 2205208800 in words is "two billion, two hundred five million, two hundred eight thousand, eight hundred".