2769505057489 has 9 divisors (see below), whose sum is σ = 2784400568859. Its totient is φ = 2754688836240.

The previous prime is 2769505057477. The next prime is 2769505057493. The reversal of 2769505057489 is 9847505059672.

The square root of 2769505057489 is 1664183.

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

It can be written as a sum of positive squares in only one way, i.e., 2688730870225 + 80774187264 = 1639735^2 + 284208^2 .

It is not a de Polignac number, because 2769505057489 - 2⁵ = 2769505057457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2769505057469) 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, 317854597 + ... + 317863309.

Almost surely, 2^{2769505057489} is an apocalyptic number.

2769505057489 is the 1664183-rd square number.

2769505057489 is the 832092-nd centered octagonal number.

It is an amenable number.

2769505057489 is a deficient number, since it is larger than the sum of its proper divisors (14895511370).

2769505057489 is an frugal number, since it uses more digits than its factorization.

2769505057489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17808 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 67.

The spelling of 2769505057489 in words is "two trillion, seven hundred sixty-nine billion, five hundred five million, fifty-seven thousand, four hundred eighty-nine".