2006505742661 has 48 divisors (see below), whose sum is σ = 2370469374000. Its totient is φ = 1693273817088.

The previous prime is 2006505742643. The next prime is 2006505742663. The reversal of 2006505742661 is 1662475056002.

It can be written as a sum of positive squares in 8 ways, for example, as 81335617636 + 1925170125025 = 285194^2 + 1387505^2 .

It is not a de Polignac number, because 2006505742661 - 2²² = 2006501548357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006505742663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830162525 + ... + 830164941.

It is an arithmetic number, because the mean of its divisors is an integer number (49384778625).

Almost surely, 2^{2006505742661} is an apocalyptic number.

It is an amenable number.

2006505742661 is a deficient number, since it is larger than the sum of its proper divisors (363963631339).

2006505742661 is a wasteful number, since it uses less digits than its factorization.

2006505742661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 2006505742661 in words is "two trillion, six billion, five hundred five million, seven hundred forty-two thousand, six hundred sixty-one".