2713073616 has 360 divisors, whose sum is σ = 8884570240. Its totient is φ = 800616960.

The previous prime is 2713073611. The next prime is 2713073621. The reversal of 2713073616 is 6163703172.

2713073616 is a `hidden beast` number, since 2 + 7 + 1 + 30 + 7 + 3 + 616 = 666.

2713073616 is digitally balanced in base 2 and base 4, because in such bases 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 (2713073611) and next prime (2713073621).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713073611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34342665 + ... + 34342743.

Almost surely, 2^2713073616 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 2713073616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442285120).

2713073616 is an abundant number, since it is smaller than the sum of its proper divisors (6171496624).

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

2713073616 is a wasteful number, since it uses less digits than its factorization.

2713073616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2713073616 is about 52087.1732387159. The cubic root of 2713073616 is about 1394.7205267406.

Adding to 2713073616 its reverse (6163703172), we get a palindrome (8876776788).

The spelling of 2713073616 in words is "two billion, seven hundred thirteen million, seventy-three thousand, six hundred sixteen".