2718791712 has 288 divisors, whose sum is σ = 9578604672. Its totient is φ = 712323072.

The previous prime is 2718791689. The next prime is 2718791717. The reversal of 2718791712 is 2171978172.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2718791717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5948988 + ... + 5949444.

It is an arithmetic number, because the mean of its divisors is an integer number (33259044).

Almost surely, 2^2718791712 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 2718791712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789302336).

2718791712 is an abundant number, since it is smaller than the sum of its proper divisors (6859812960).

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

2718791712 is a wasteful number, since it uses less digits than its factorization.

2718791712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its digits is 98784, while the sum is 45.

The square root of 2718791712 is about 52142.0340224660. The cubic root of 2718791712 is about 1395.6996806102.

It can be divided in two parts, 2718 and 791712, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 2718791712 in words is "two billion, seven hundred eighteen million, seven hundred ninety-one thousand, seven hundred twelve".