2713238834976 has 144 divisors (see below), whose sum is σ = 7734685847616. Its totient is φ = 902197805568.

The previous prime is 2713238834939. The next prime is 2713238834989. The reversal of 2713238834976 is 6794388323172.

2713238834976 is a `hidden beast` number, since 2 + 7 + 1 + 32 + 38 + 83 + 497 + 6 = 666.

2713238834976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620450326 + ... + 620454698.

It is an arithmetic number, because the mean of its divisors is an integer number (53713096164).

Almost surely, 2^{2713238834976} 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 2713238834976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867342923808).

2713238834976 is an abundant number, since it is smaller than the sum of its proper divisors (5021447012640).

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

2713238834976 is a wasteful number, since it uses less digits than its factorization.

2713238834976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9164 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 2713238834976 in words is "two trillion, seven hundred thirteen billion, two hundred thirty-eight million, eight hundred thirty-four thousand, nine hundred seventy-six".