2726091583744 has 81 divisors (see below), whose sum is σ = 5594583638847. Its totient is φ = 1325731203072.

The previous prime is 2726091583729. The next prime is 2726091583751. The reversal of 2726091583744 is 4473851906272.

The square root of 2726091583744 is 1651088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 831306297600 + 1894785286144 = 911760^2 + 1376512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 977442702 + ... + 977445490.

It is a 1-persistent number, because it is pandigital, but 2⋅2726091583744 = 5452183167488 is not.

Almost surely, 2^{2726091583744} is an apocalyptic number.

2726091583744 is the 1651088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726091583744

2726091583744 is an abundant number, since it is smaller than the sum of its proper divisors (2868492055103).

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

2726091583744 is an frugal number, since it uses more digits than its factorization.

2726091583744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 2726091583744 in words is "two trillion, seven hundred twenty-six billion, ninety-one million, five hundred eighty-three thousand, seven hundred forty-four".