2218824 has 24 divisors (see below), whose sum is σ = 6009510. Its totient is φ = 739584.

The previous prime is 2218807. The next prime is 2218831. The reversal of 2218824 is 4288122.

It can be written as a sum of positive squares in only one way, i.e., 2196324 + 22500 = 1482^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 15337 + ... + 15480.

2^2218824 is an apocalyptic number.

2218824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2218824 is an abundant number, since it is smaller than the sum of its proper divisors (3790686).

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

2218824 is a wasteful number, since it uses less digits than its factorization.

2218824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30829 (or 30822 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2218824 is about 1489.5717505377. The cubic root of 2218824 is about 130.4290361526.

It can be divided in two parts, 221 and 8824, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 2218824 in words is "two million, two hundred eighteen thousand, eight hundred twenty-four".