2089085764689 has 81 divisors (see below), whose sum is σ = 3858971523771. Its totient is φ = 1085065914240.

The previous prime is 2089085764643. The next prime is 2089085764739. The reversal of 2089085764689 is 9864675809802.

The square root of 2089085764689 is 1445367.

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

2089085764689 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 0 + 8 + 576 + 46 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2067772100625 + 21313664064 = 1437975^2 + 145992^2 .

It is not a de Polignac number, because 2089085764689 - 2¹⁵ = 2089085731921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2089085764609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 333876649 + ... + 333882905.

Almost surely, 2^{2089085764689} is an apocalyptic number.

2089085764689 is the 1445367-th square number.

2089085764689 is the 722684-th centered octagonal number.

It is an amenable number.

2089085764689 is a deficient number, since it is larger than the sum of its proper divisors (1769885759082).

2089085764689 is an frugal number, since it uses more digits than its factorization.

2089085764689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12556 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 2089085764689 in words is "two trillion, eighty-nine billion, eighty-five million, seven hundred sixty-four thousand, six hundred eighty-nine".