2012003616 has 96 divisors (see below), whose sum is σ = 6047637120. Its totient is φ = 573751296.

The previous prime is 2012003603. The next prime is 2012003621. The reversal of 2012003616 is 6163002102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2012003592 and 2012003601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385150 + ... + 390338.

It is an arithmetic number, because the mean of its divisors is an integer number (62996220).

Almost surely, 2^2012003616 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 2012003616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023818560).

2012003616 is an abundant number, since it is smaller than the sum of its proper divisors (4035633504).

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

2012003616 is a wasteful number, since it uses less digits than its factorization.

2012003616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2012003616 is about 44855.3632913613. The cubic root of 2012003616 is about 1262.4366253323.

Adding to 2012003616 its reverse (6163002102), we get a palindrome (8175005718).

The spelling of 2012003616 in words is "two billion, twelve million, three thousand, six hundred sixteen".