2216064 has 64 divisors (see below), whose sum is σ = 6120000. Its totient is φ = 709632.

The previous prime is 2216057. The next prime is 2216083. The reversal of 2216064 is 4606122.

It is a happy number.

2216064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2216064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11037 + ... + 11235.

It is an arithmetic number, because the mean of its divisors is an integer number (95625).

2^2216064 is an apocalyptic number.

2216064 is a gapful number since it is divisible by the number (24) 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 2216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060000).

2216064 is an abundant number, since it is smaller than the sum of its proper divisors (3903936).

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

2216064 is a wasteful number, since it uses less digits than its factorization.

2216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2216064 is about 1488.6450214877. The cubic root of 2216064 is about 130.3749333930.

The spelling of 2216064 in words is "two million, two hundred sixteen thousand, sixty-four".