2213952 has 56 divisors (see below), whose sum is σ = 6315456. Its totient is φ = 680448.

The previous prime is 2213933. The next prime is 2213963. The reversal of 2213952 is 2593122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2053 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (112776).

2^2213952 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 2213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728).

2213952 is an abundant number, since it is smaller than the sum of its proper divisors (4101504).

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

2213952 is a wasteful number, since it uses less digits than its factorization.

2213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2213952 is about 1487.9354824723. The cubic root of 2213952 is about 130.3335026732. Note that the first 3 decimals are identical.

The spelling of 2213952 in words is "two million, two hundred thirteen thousand, nine hundred fifty-two".