2712973101216 has 288 divisors, whose sum is σ = 8379815109120. Its totient is φ = 766221571584.

The previous prime is 2712973101193. The next prime is 2712973101217. The reversal of 2712973101216 is 6121013792172.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2712973101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284403775 + ... + 284413313.

It is an arithmetic number, because the mean of its divisors is an integer number (29096580240).

Almost surely, 2^{2712973101216} 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 2712973101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189907554560).

2712973101216 is an abundant number, since it is smaller than the sum of its proper divisors (5666842007904).

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

2712973101216 is a wasteful number, since it uses less digits than its factorization.

2712973101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

Adding to 2712973101216 its reverse (6121013792172), we get a palindrome (8833986893388).

The spelling of 2712973101216 in words is "two trillion, seven hundred twelve billion, nine hundred seventy-three million, one hundred one thousand, two hundred sixteen".