2211968 has 32 divisors (see below), whose sum is σ = 4810320. Its totient is φ = 1004800.

The previous prime is 2211967. The next prime is 2211977. The reversal of 2211968 is 8691122.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2211968.

It is not an unprimeable number, because it can be changed into a prime (2211967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 623 + ... + 2193.

2^2211968 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 2211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405160).

2211968 is an abundant number, since it is smaller than the sum of its proper divisors (2598352).

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

2211968 is a wasteful number, since it uses less digits than its factorization.

2211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1584 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 2211968 is about 1487.2686374694. The cubic root of 2211968 is about 130.2945588977.

The spelling of 2211968 in words is "two million, two hundred eleven thousand, nine hundred sixty-eight".