2726242272 has 288 divisors, whose sum is σ = 8764610400. Its totient is φ = 828610560.

The previous prime is 2726242271. The next prime is 2726242283. The reversal of 2726242272 is 2722426272.

2726242272 is a `hidden beast` number, since 2 + 7 + 2 + 624 + 2 + 27 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726242271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15062022 + ... + 15062202.

It is an arithmetic number, because the mean of its divisors is an integer number (30432675).

Almost surely, 2^2726242272 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 2726242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382305200).

2726242272 is an abundant number, since it is smaller than the sum of its proper divisors (6038368128).

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

2726242272 is a wasteful number, since it uses less digits than its factorization.

2726242272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 2726242272 is about 52213.4299965057. The cubic root of 2726242272 is about 1396.9734400425.

The spelling of 2726242272 in words is "two billion, seven hundred twenty-six million, two hundred forty-two thousand, two hundred seventy-two".