2211658668 has 144 divisors (see below), whose sum is σ = 6193474560. Its totient is φ = 688564800.

The previous prime is 2211658663. The next prime is 2211658681. The reversal of 2211658668 is 8668561122.

2211658668 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 6 + 586 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211658661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872563 + ... + 875093.

It is an arithmetic number, because the mean of its divisors is an integer number (43010240).

Almost surely, 2^2211658668 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 2211658668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096737280).

2211658668 is an abundant number, since it is smaller than the sum of its proper divisors (3981815892).

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

2211658668 is a wasteful number, since it uses less digits than its factorization.

2211658668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2596 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2211658668 is about 47028.2751969493. The cubic root of 2211658668 is about 1302.8848494677.

The spelling of 2211658668 in words is "two billion, two hundred eleven million, six hundred fifty-eight thousand, six hundred sixty-eight".