2839504716889 has 9 divisors (see below), whose sum is σ = 2854620359199. Its totient is φ = 2824468721280.

The previous prime is 2839504716857. The next prime is 2839504716947. The reversal of 2839504716889 is 9886174059382.

The square root of 2839504716889 is 1685083.

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

2839504716889 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 only one way, i.e., 687979008025 + 2151525708864 = 829445^2 + 1466808^2 .

It is not a de Polignac number, because 2839504716889 - 2⁵ = 2839504716857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2839504716289) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 325216654 + ... + 325225384.

It is an arithmetic number, because the mean of its divisors is an integer number (317180039911).

It is a 1-persistent number, because it is pandigital, but 2⋅2839504716889 = 5679009433778 is not.

Almost surely, 2^{2839504716889} is an apocalyptic number.

2839504716889 is the 1685083-rd square number.

2839504716889 is the 842542-nd centered octagonal number.

It is an amenable number.

2839504716889 is a deficient number, since it is larger than the sum of its proper divisors (15115642310).

2839504716889 is an frugal number, since it uses more digits than its factorization.

2839504716889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17848 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 70.

The spelling of 2839504716889 in words is "two trillion, eight hundred thirty-nine billion, five hundred four million, seven hundred sixteen thousand, eight hundred eighty-nine".