2338416 has 40 divisors (see below), whose sum is σ = 6713360. Its totient is φ = 779328.

The previous prime is 2338411. The next prime is 2338421. The reversal of 2338416 is 6148332.

It is a happy number.

2338416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2338411) and next prime (2338421).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2338416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2275 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (167834).

2^2338416 is an apocalyptic number.

It is an amenable number.

2338416 is an abundant number, since it is smaller than the sum of its proper divisors (4374944).

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

2338416 is a wasteful number, since it uses less digits than its factorization.

2338416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5418 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2338416 is about 1529.1880198327. The cubic root of 2338416 is about 132.7314762369.

It can be divided in two parts, 233 and 8416, that added together give a square (8649 = 93²).

The spelling of 2338416 in words is "two million, three hundred thirty-eight thousand, four hundred sixteen".