2689205453761 has 16 divisors (see below), whose sum is σ = 2759834535696. Its totient is φ = 2618818560000.

The previous prime is 2689205453687. The next prime is 2689205453777. The reversal of 2689205453761 is 1673545029862.

It can be written as a sum of positive squares in 8 ways, for example, as 188477539600 + 2500727914161 = 434140^2 + 1581369^2 .

It is a 4-Lehmer number, since φ(2689205453761) divides (2689205453761-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 2689205453761 - 2¹⁷ = 2689205322689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2689205453696 and 2689205453705.

It is not an unprimeable number, because it can be changed into a prime (2689205450761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116702401 + ... + 116725441.

It is an arithmetic number, because the mean of its divisors is an integer number (172489658481).

It is a 1-persistent number, because it is pandigital, but 2⋅2689205453761 = 5378410907522 is not.

It is a Poulet number, since it divides 2^{2689205453760}-1.

Almost surely, 2^{2689205453761} is an apocalyptic number.

2689205453761 is the 733377-th centered decagonal number.

It is an amenable number.

2689205453761 is a deficient number, since it is larger than the sum of its proper divisors (70629081935).

2689205453761 is a wasteful number, since it uses less digits than its factorization.

2689205453761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28164.

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 2689205453761 in words is "two trillion, six hundred eighty-nine billion, two hundred five million, four hundred fifty-three thousand, seven hundred sixty-one".