2206983168 has 264 divisors, whose sum is σ = 6966759800. Its totient is φ = 672841728.

The previous prime is 2206983167. The next prime is 2206983169. The reversal of 2206983168 is 8613896022.

It is an interprime number because it is at equal distance from previous prime (2206983167) and next prime (2206983169).

It can be written as a sum of positive squares in 4 ways, for example, as 479084544 + 1727898624 = 21888^2 + 41568^2 .

It is not an unprimeable number, because it can be changed into a prime (2206983161) by changing a digit.

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, 20247498 + ... + 20247606.

Almost surely, 2^2206983168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483379900).

2206983168 is an abundant number, since it is smaller than the sum of its proper divisors (4759776632).

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

2206983168 is a wasteful number, since it uses less digits than its factorization.

2206983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2206983168 is about 46978.5394408979. The cubic root of 2206983168 is about 1301.9660916934.

The spelling of 2206983168 in words is "two billion, two hundred six million, nine hundred eighty-three thousand, one hundred sixty-eight".