2641557646705 has 8 divisors (see below), whose sum is σ = 3186293369832. Its totient is φ = 2102296654848.

The previous prime is 2641557646687. The next prime is 2641557646709. The reversal of 2641557646705 is 5076467551462.

2641557646705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7155975649 + 2634401671056 = 84593^2 + 1623084^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2641557646705 - 2¹¹ = 2641557644657 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 2641557646705.

It is not an unprimeable number, because it can be changed into a prime (2641557646709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368681754 + ... + 1368683683.

It is an arithmetic number, because the mean of its divisors is an integer number (398286671229).

Almost surely, 2^{2641557646705} is an apocalyptic number.

It is an amenable number.

2641557646705 is a deficient number, since it is larger than the sum of its proper divisors (544735723127).

2641557646705 is a wasteful number, since it uses less digits than its factorization.

2641557646705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737365635.

The product of its (nonzero) digits is 42336000, while the sum is 58.

The spelling of 2641557646705 in words is "two trillion, six hundred forty-one billion, five hundred fifty-seven million, six hundred forty-six thousand, seven hundred five".