2890567827889 has 27 divisors (see below), whose sum is σ = 3401949233217. Its totient is φ = 2448893344128.

The previous prime is 2890567827869. The next prime is 2890567827893. The reversal of 2890567827889 is 9887287650982.

The square root of 2890567827889 is 1700167.

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

It can be written as a sum of positive squares in 4 ways, for example, as 193746987889 + 2696820840000 = 440167^2 + 1642200^2 .

It is not a de Polignac number, because 2890567827889 - 2³³ = 2881977893297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2890567827809) 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, 1059202677 + ... + 1059205405.

Almost surely, 2^{2890567827889} is an apocalyptic number.

2890567827889 is the 1700167-th square number.

2890567827889 is the 850084-th centered octagonal number.

It is an amenable number.

2890567827889 is a deficient number, since it is larger than the sum of its proper divisors (511381405328).

2890567827889 is an frugal number, since it uses more digits than its factorization.

2890567827889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 79.

The spelling of 2890567827889 in words is "two trillion, eight hundred ninety billion, five hundred sixty-seven million, eight hundred twenty-seven thousand, eight hundred eighty-nine".