2289217216 has 168 divisors, whose sum is σ = 5461820928. Its totient is φ = 943488000.

The previous prime is 2289217199. The next prime is 2289217219. The reversal of 2289217216 is 6127129822.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2289217219) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8447161 + ... + 8447431.

Almost surely, 2^2289217216 is an apocalyptic number.

2289217216 is a gapful number since it is divisible by the number (26) 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 2289217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730910464).

2289217216 is an abundant number, since it is smaller than the sum of its proper divisors (3172603712).

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

2289217216 is a wasteful number, since it uses less digits than its factorization.

2289217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 368 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 2289217216 is about 47845.7648700488. The cubic root of 2289217216 is about 1317.9400867578.

The spelling of 2289217216 in words is "two billion, two hundred eighty-nine million, two hundred seventeen thousand, two hundred sixteen".