2584345289 has 2 divisors, whose sum is σ = 2584345290. Its totient is φ = 2584345288.

The previous prime is 2584345271. The next prime is 2584345303. The reversal of 2584345289 is 9825434852.

2584345289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2508306889 + 76038400 = 50083^2 + 8720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2584345289 - 2²⁸ = 2315909833 is a prime.

It is not a weakly prime, because it can be changed into another prime (2584345889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292172644 + 1292172645.

It is an arithmetic number, because the mean of its divisors is an integer number (1292172645).

Almost surely, 2^2584345289 is an apocalyptic number.

It is an amenable number.

2584345289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584345289 is an equidigital number, since it uses as much as digits as its factorization.

2584345289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2764800, while the sum is 50.

The square root of 2584345289 is about 50836.4562986052. The cubic root of 2584345289 is about 1372.3035267638.

The spelling of 2584345289 in words is "two billion, five hundred eighty-four million, three hundred forty-five thousand, two hundred eighty-nine".