2726116272 has 120 divisors (see below), whose sum is σ = 8335658448. Its totient is φ = 824832000.

The previous prime is 2726116259. The next prime is 2726116343.

It is a happy number.

2726116272 is a `hidden beast` number, since 2 + 7 + 26 + 1 + 1 + 627 + 2 = 666.

2726116272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901668 + ... + 1903100.

Almost surely, 2^2726116272 is an apocalyptic number.

2726116272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726116272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167829224).

2726116272 is an abundant number, since it is smaller than the sum of its proper divisors (5609542176).

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

2726116272 is a wasteful number, since it uses less digits than its factorization.

2726116272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2650 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 2726116272 is about 52212.2233964423. The cubic root of 2726116272 is about 1396.9519181884.

The spelling of 2726116272 in words is "two billion, seven hundred twenty-six million, one hundred sixteen thousand, two hundred seventy-two".