2768001305 has 8 divisors (see below), whose sum is σ = 3323219400. Its totient is φ = 2213322496.

The previous prime is 2768001287. The next prime is 2768001329. The reversal of 2768001305 is 5031008672.

It is a happy number.

2768001305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 252778201 + 2515223104 = 15899^2 + 50152^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2768001305 - 2²⁴ = 2751224089 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123440 + ... + 144129.

It is an arithmetic number, because the mean of its divisors is an integer number (415402425).

Almost surely, 2^2768001305 is an apocalyptic number.

It is an amenable number.

2768001305 is a deficient number, since it is larger than the sum of its proper divisors (555218095).

2768001305 is a wasteful number, since it uses less digits than its factorization.

2768001305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269643.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2768001305 is about 52611.7981540263. The cubic root of 2768001305 is about 1404.0700109906.

Adding to 2768001305 its reverse (5031008672), we get a palindrome (7799009977).

The spelling of 2768001305 in words is "two billion, seven hundred sixty-eight million, one thousand, three hundred five".