2819306288241 has 27 divisors (see below), whose sum is σ = 4131019967737. Its totient is φ = 1852830094920.

The previous prime is 2819306288207. The next prime is 2819306288303. The reversal of 2819306288241 is 1428826039182.

The square root of 2819306288241 is 1679079.

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

2819306288241 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 3 + 0 + 628 + 8 + 2 + 4 + 1 = 666.

2819306288241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2819306288241 - 2²³ = 2819297899633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2819306287241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 357639886 + ... + 357647768.

Almost surely, 2^{2819306288241} is an apocalyptic number.

2819306288241 is the 1679079-th square number.

2819306288241 is the 839540-th centered octagonal number.

It is an amenable number.

2819306288241 is a deficient number, since it is larger than the sum of its proper divisors (1311713679496).

2819306288241 is an frugal number, since it uses more digits than its factorization.

2819306288241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15914 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2819306288241 in words is "two trillion, eight hundred nineteen billion, three hundred six million, two hundred eighty-eight thousand, two hundred forty-one".