2216006667 has 96 divisors (see below), whose sum is σ = 3962649600. Its totient is φ = 1210785408.

The previous prime is 2216006659. The next prime is 2216006669. The reversal of 2216006667 is 7666006122.

It is not a de Polignac number, because 2216006667 - 2³ = 2216006659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2216006669) 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 95 ways as a sum of consecutive naturals, for example, 8237809 + ... + 8238077.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^2216006667 is an apocalyptic number.

2216006667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2216006667 is a deficient number, since it is larger than the sum of its proper divisors (1746642933).

2216006667 is a wasteful number, since it uses less digits than its factorization.

2216006667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2216006667 is about 47074.4799971280. The cubic root of 2216006667 is about 1303.7380904963.

The spelling of 2216006667 in words is "two billion, two hundred sixteen million, six thousand, six hundred sixty-seven".