2217936 has 120 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 591360.

The previous prime is 2217911. The next prime is 2217947. The reversal of 2217936 is 6397122.

2217936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 2²¹ + 1 + 7⁶ + 9³ + 3⁷ + 6³ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54076 + ... + 54116.

2^2217936 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 2217936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2217936 is an abundant number, since it is smaller than the sum of its proper divisors (4906608).

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

2217936 is a wasteful number, since it uses less digits than its factorization.

2217936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 2217936 is about 1489.2736484609. The cubic root of 2217936 is about 130.4116340756.

The spelling of 2217936 in words is "two million, two hundred seventeen thousand, nine hundred thirty-six".