2211664 has 80 divisors (see below), whose sum is σ = 5555200. Its totient is φ = 846720.

The previous prime is 2211647. The next prime is 2211667. The reversal of 2211664 is 4661122.

2211664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211667) 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 15 ways as a sum of consecutive naturals, for example, 71329 + ... + 71359.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

2^2211664 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 2211664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777600).

2211664 is an abundant number, since it is smaller than the sum of its proper divisors (3343536).

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

2211664 is a wasteful number, since it uses less digits than its factorization.

2211664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2211664 is about 1487.1664331876. The cubic root of 2211664 is about 130.2885896491.

Adding to 2211664 its reverse (4661122), we get a palindrome (6872786).

The spelling of 2211664 in words is "two million, two hundred eleven thousand, six hundred sixty-four".