2189916288 has 192 divisors, whose sum is σ = 7581537600. Its totient is φ = 592717824.

The previous prime is 2189916241. The next prime is 2189916317. The reversal of 2189916288 is 8826199812.

2189916288 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 9 + 1 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146070 + ... + 160362.

It is an arithmetic number, because the mean of its divisors is an integer number (39487175).

Almost surely, 2^2189916288 is an apocalyptic number.

2189916288 is a gapful number since it is divisible by the number (28) 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 2189916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790768800).

2189916288 is an abundant number, since it is smaller than the sum of its proper divisors (5391621312).

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

2189916288 is a wasteful number, since it uses less digits than its factorization.

2189916288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339 (or 14324 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 2189916288 is about 46796.5414106641. The cubic root of 2189916288 is about 1298.6013138218.

The spelling of 2189916288 in words is "two billion, one hundred eighty-nine million, nine hundred sixteen thousand, two hundred eighty-eight".