2217984 has 72 divisors (see below), whose sum is σ = 6240780. Its totient is φ = 700416.

The previous prime is 2217967. The next prime is 2217991. The reversal of 2217984 is 4897122.

It is a happy number.

Its product of digits (8064) is a multiple of the sum of its prime divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116727 + ... + 116745.

2^2217984 is an apocalyptic number.

2217984 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 2217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120390).

2217984 is an abundant number, since it is smaller than the sum of its proper divisors (4022796).

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

2217984 is an equidigital number, since it uses as much as digits as its factorization.

2217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 24 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 2217984 is about 1489.2897636122. The cubic root of 2217984 is about 130.4125748472.

The spelling of 2217984 in words is "two million, two hundred seventeen thousand, nine hundred eighty-four".