2221968 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 595968.

The previous prime is 2221949. The next prime is 2221969. The reversal of 2221968 is 8691222.

It is not an unprimeable number, because it can be changed into a prime (2221969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5518 + ... + 5906.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2^2221968 is an apocalyptic number.

2221968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2221968 is an abundant number, since it is smaller than the sum of its proper divisors (4741872).

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

2221968 is a wasteful number, since it uses less digits than its factorization.

2221968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2221968 is about 1490.6267138355. The cubic root of 2221968 is about 130.4906116174.

The spelling of 2221968 in words is "two million, two hundred twenty-one thousand, nine hundred sixty-eight".