2182416 has 40 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 688896.

The previous prime is 2182399. The next prime is 2182417. The reversal of 2182416 is 6142812.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

2^2182416 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 2182416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2182416 is an abundant number, since it is smaller than the sum of its proper divisors (3754704).

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

2182416 is a wasteful number, since it uses less digits than its factorization.

2182416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2417 counting only the distinct ones).

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

The square root of 2182416 is about 1477.3002403032. The cubic root of 2182416 is about 129.7117082887.

The spelling of 2182416 in words is "two million, one hundred eighty-two thousand, four hundred sixteen".