2213964 has 36 divisors (see below), whose sum is σ = 5667480. Its totient is φ = 728640.

The previous prime is 2213963. The next prime is 2213971. The reversal of 2213964 is 4693122.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2213963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2859 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (157430).

2^2213964 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 2213964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833740).

2213964 is an abundant number, since it is smaller than the sum of its proper divisors (3453516).

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

2213964 is a wasteful number, since it uses less digits than its factorization.

2213964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 785 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2213964 is about 1487.9395148997. The cubic root of 2213964 is about 130.3337381495. Note that the first 3 decimals are identical.

The spelling of 2213964 in words is "two million, two hundred thirteen thousand, nine hundred sixty-four".