2189563200 has 504 divisors, whose sum is σ = 8873557056. Its totient is φ = 506880000.

The previous prime is 2189563193. The next prime is 2189563217. The reversal of 2189563200 is 23659812.

2189563200 is a `hidden beast` number, since 2 + 18 + 9 + 5 + 632 + 0 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3642900 + ... + 3643500.

It is an arithmetic number, because the mean of its divisors is an integer number (17606264).

Almost surely, 2^2189563200 is an apocalyptic number.

2189563200 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 2189563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436778528).

2189563200 is an abundant number, since it is smaller than the sum of its proper divisors (6683993856).

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

2189563200 is a wasteful number, since it uses less digits than its factorization.

2189563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2189563200 is about 46792.7686720929. The cubic root of 2189563200 is about 1298.5315173660.

The spelling of 2189563200 in words is "two billion, one hundred eighty-nine million, five hundred sixty-three thousand, two hundred".