2382016 has 56 divisors (see below), whose sum is σ = 5831840. Its totient is φ = 940032.

The previous prime is 2382001. The next prime is 2382073. The reversal of 2382016 is 6102832.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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, 5620 + ... + 6028.

It is an arithmetic number, because the mean of its divisors is an integer number (104140).

2^2382016 is an apocalyptic number.

2382016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915920).

2382016 is an abundant number, since it is smaller than the sum of its proper divisors (3449824).

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

2382016 is a wasteful number, since it uses less digits than its factorization.

2382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2382016 is about 1543.3781131013. The cubic root of 2382016 is about 133.5513322681.

Adding to 2382016 its reverse (6102832), we get a palindrome (8484848).

The spelling of 2382016 in words is "two million, three hundred eighty-two thousand, sixteen".