2216289600 has 630 divisors, whose sum is σ = 9503721150. Its totient is φ = 505128960.

The previous prime is 2216289587. The next prime is 2216289611. The reversal of 2216289600 is 69826122.

It is a happy number.

2216289600 is a `hidden beast` number, since 2 + 21 + 6 + 28 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 293642496 + 1922647104 = 17136^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (630).

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 (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350226 + ... + 6350574.

Almost surely, 2^2216289600 is an apocalyptic number.

2216289600 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 2216289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751860575).

2216289600 is an abundant number, since it is smaller than the sum of its proper divisors (7287431550).

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

2216289600 is a wasteful number, since it uses less digits than its factorization.

2216289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2216289600 is about 47077.4850645189. The cubic root of 2216289600 is about 1303.7935739081.

The spelling of 2216289600 in words is "two billion, two hundred sixteen million, two hundred eighty-nine thousand, six hundred".