2218416 has 40 divisors (see below), whose sum is σ = 5795760. Its totient is φ = 731136.

The previous prime is 2218367. The next prime is 2218423. The reversal of 2218416 is 6148122.

2218416 = T₁₁ + T₁₂ + ... + T₂₃₆.

It is a Harshad number since it is a multiple of its sum of digits (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 7 ways as a sum of consecutive naturals, for example, 5220 + ... + 5628.

It is an arithmetic number, because the mean of its divisors is an integer number (144894).

2^2218416 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 2218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897880).

2218416 is an abundant number, since it is smaller than the sum of its proper divisors (3577344).

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

2218416 is a wasteful number, since it uses less digits than its factorization.

2218416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2218416 is about 1489.4347921275. The cubic root of 2218416 is about 130.4210411804.

The spelling of 2218416 in words is "two million, two hundred eighteen thousand, four hundred sixteen".