2204682480 has 1440 divisors, whose sum is σ = 11114288640. Its totient is φ = 383201280.

The previous prime is 2204682427. The next prime is 2204682511. The reversal of 2204682480 is 842864022.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95855749 + ... + 95855771.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

It is a vampire number, since it can be written as 26220 ⋅ 84084 (with its own digits).

Almost surely, 2^2204682480 is an apocalyptic number.

2204682480 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 2204682480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557144320).

2204682480 is an abundant number, since it is smaller than the sum of its proper divisors (8909606160).

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

2204682480 is a wasteful number, since it uses less digits than its factorization.

2204682480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2204682480 is about 46954.0464709912. The cubic root of 2204682480 is about 1301.5135192593.

The spelling of 2204682480 in words is "two billion, two hundred four million, six hundred eighty-two thousand, four hundred eighty".