2013332616 has 24 divisors (see below), whose sum is σ = 5452776030. Its totient is φ = 671110848.

The previous prime is 2013332611. The next prime is 2013332621. The reversal of 2013332616 is 6162333102.

It is a happy number.

2013332616 is a `hidden beast` number, since 2 + 0 + 13 + 3 + 32 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (2013332611) and next prime (2013332621).

It can be written as a sum of positive squares in only one way, i.e., 1007808516 + 1005524100 = 31746^2 + 31710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2013332616.

It is not an unprimeable number, because it can be changed into a prime (2013332611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13981405 + ... + 13981548.

Almost surely, 2^2013332616 is an apocalyptic number.

It is an amenable number.

2013332616 is an abundant number, since it is smaller than the sum of its proper divisors (3439443414).

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

2013332616 is a wasteful number, since it uses less digits than its factorization.

2013332616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27962965 (or 27962958 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2013332616 is about 44870.1751278062. The cubic root of 2013332616 is about 1262.7145255949.

Adding to 2013332616 its reverse (6162333102), we get a palindrome (8175665718).

The spelling of 2013332616 in words is "two billion, thirteen million, three hundred thirty-two thousand, six hundred sixteen".