2012416 has 36 divisors (see below), whose sum is σ = 4594912. Its totient is φ = 861696.

The previous prime is 2012407. The next prime is 2012419. The reversal of 2012416 is 6142102.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2012416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1231 + ... + 2353.

2^2012416 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 2012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297456).

2012416 is an abundant number, since it is smaller than the sum of its proper divisors (2582496).

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

2012416 is an equidigital number, since it uses as much as digits as its factorization.

2012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2012416 is about 1418.5964894923. The cubic root of 2012416 is about 126.2522869893.

Adding to 2012416 its reverse (6142102), we get a palindrome (8154518).

The spelling of 2012416 in words is "two million, twelve thousand, four hundred sixteen".