2689675440529 has 135 divisors (see below), whose sum is σ = 3692731641081. Its totient is φ = 1951889773680.

The previous prime is 2689675440461. The next prime is 2689675440581. The reversal of 2689675440529 is 9250445769862.

The square root of 2689675440529 is 1640023.

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

It is not a de Polignac number, because 2689675440529 - 2⁷ = 2689675440401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2689675440329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 45587719302 + ... + 45587719360.

Almost surely, 2^{2689675440529} is an apocalyptic number.

2689675440529 is the 1640023-rd square number.

2689675440529 is the 820012-nd centered octagonal number.

It is an amenable number.

2689675440529 is a deficient number, since it is larger than the sum of its proper divisors (1003056200552).

2689675440529 is an frugal number, since it uses more digits than its factorization.

2689675440529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 2689675440529 in words is "two trillion, six hundred eighty-nine billion, six hundred seventy-five million, four hundred forty thousand, five hundred twenty-nine".