2713622001216 has 448 divisors, whose sum is σ = 8533749239808. Its totient is φ = 744877596672.

The previous prime is 2713622001199. The next prime is 2713622001221. The reversal of 2713622001216 is 6121002263172.

2713622001216 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 (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2678797126 + ... + 2678798138.

Almost surely, 2^{2713622001216} 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 2713622001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266874619904).

2713622001216 is an abundant number, since it is smaller than the sum of its proper divisors (5820127238592).

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

2713622001216 is a wasteful number, since it uses less digits than its factorization.

2713622001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 2713622001216 its reverse (6121002263172), we get a palindrome (8834624264388).

The spelling of 2713622001216 in words is "two trillion, seven hundred thirteen billion, six hundred twenty-two million, one thousand, two hundred sixteen".