2669305707601 has 27 divisors (see below), whose sum is σ = 2919724910739. Its totient is φ = 2439251822592.

The previous prime is 2669305707587. The next prime is 2669305707647. The reversal of 2669305707601 is 1067075039662.

It is a happy number.

The square root of 2669305707601 is 1633801.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1013245573201 + 1656060134400 = 1006601^2 + 1286880^2 .

It is not a de Polignac number, because 2669305707601 - 2¹⁷ = 2669305576529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2669305707301) 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, 2315095441 + ... + 2315096593.

It is an arithmetic number, because the mean of its divisors is an integer number (108137959657).

Almost surely, 2^{2669305707601} is an apocalyptic number.

2669305707601 is the 1633801-st square number.

2669305707601 is the 816901-st centered octagonal number.

It is an amenable number.

2669305707601 is a deficient number, since it is larger than the sum of its proper divisors (250419203138).

2669305707601 is an frugal number, since it uses more digits than its factorization.

2669305707601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 2669305707601 in words is "two trillion, six hundred sixty-nine billion, three hundred five million, seven hundred seven thousand, six hundred one".