2606905206561 has 8 divisors (see below), whose sum is σ = 3509619954880. Its totient is φ = 1721063631312.

The previous prime is 2606905206551. The next prime is 2606905206637. The reversal of 2606905206561 is 1656025096062.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2606905206561 - 2¹⁰ = 2606905205537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2606905206561.

It is not an unprimeable number, because it can be changed into a prime (2606905206551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4218292906 + ... + 4218293523.

It is an arithmetic number, because the mean of its divisors is an integer number (438702494360).

Almost surely, 2^{2606905206561} is an apocalyptic number.

It is an amenable number.

2606905206561 is a deficient number, since it is larger than the sum of its proper divisors (902714748319).

2606905206561 is a wasteful number, since it uses less digits than its factorization.

2606905206561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436586535.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 2606905206561 in words is "two trillion, six hundred six billion, nine hundred five million, two hundred six thousand, five hundred sixty-one".