2200584960 has 432 divisors, whose sum is σ = 9011096640. Its totient is φ = 485130240.

The previous prime is 2200584937. The next prime is 2200585031. The reversal of 2200584960 is 694850022.

It is a happy number.

It is a super-3 number, since 3×2200584960³ (a number of 29 digits) contains 333 as substring.

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, 2338090 + ... + 2339030.

It is an arithmetic number, because the mean of its divisors is an integer number (20859020).

Almost surely, 2^2200584960 is an apocalyptic number.

2200584960 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 2200584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505548320).

2200584960 is an abundant number, since it is smaller than the sum of its proper divisors (6810511680).

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

2200584960 is a wasteful number, since it uses less digits than its factorization.

2200584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 987 counting only the distinct ones).

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

The square root of 2200584960 is about 46910.3928783377. The cubic root of 2200584960 is about 1300.7067084504.

The spelling of 2200584960 in words is "two billion, two hundred million, five hundred eighty-four thousand, nine hundred sixty".