2216448 has 120 divisors (see below), whose sum is σ = 7075068. Its totient is φ = 663552.

The previous prime is 2216437. The next prime is 2216471. The reversal of 2216448 is 8446122.

2216448 is a `hidden beast` number, since 2 + 216 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 2304 = 1488^2 + 48^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59886 + ... + 59922.

2^2216448 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 2216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537534).

2216448 is an abundant number, since it is smaller than the sum of its proper divisors (4858620).

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

2216448 is a wasteful number, since it uses less digits than its factorization.

2216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 55 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2216448 is about 1488.7739922500. The cubic root of 2216448 is about 130.3824634227.

The spelling of 2216448 in words is "two million, two hundred sixteen thousand, four hundred forty-eight".