2217824 has 24 divisors (see below), whose sum is σ = 4990608. Its totient is φ = 950400.

The previous prime is 2217799. The next prime is 2217829. The reversal of 2217824 is 4287122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2217793 and 2217802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4727 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (207942).

2^2217824 is an apocalyptic number.

It is an amenable number.

2217824 is an abundant number, since it is smaller than the sum of its proper divisors (2772784).

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

2217824 is an equidigital number, since it uses as much as digits as its factorization.

2217824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9910 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 2217824 is about 1489.2360457631. The cubic root of 2217824 is about 130.4094388892.

The spelling of 2217824 in words is "two million, two hundred seventeen thousand, eight hundred twenty-four".