2606071034889 has 27 divisors (see below), whose sum is σ = 4378965437223. Its totient is φ = 1489164076512.

The previous prime is 2606071034857. The next prime is 2606071034909. The reversal of 2606071034889 is 9884301706062.

The square root of 2606071034889 is 1614333.

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

2606071034889 is a `hidden beast` number, since 26 + 0 + 607 + 1 + 0 + 3 + 4 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2586580641225 + 19490393664 = 1608285^2 + 139608^2 .

It is not a de Polignac number, because 2606071034889 - 2⁵ = 2606071034857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2606071038889) 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 26 ways as a sum of consecutive naturals, for example, 33862557 + ... + 33939429.

Almost surely, 2^{2606071034889} is an apocalyptic number.

2606071034889 is the 1614333-rd square number.

2606071034889 is the 807167-th centered octagonal number.

It is an amenable number.

2606071034889 is a deficient number, since it is larger than the sum of its proper divisors (1772894402334).

2606071034889 is an frugal number, since it uses more digits than its factorization.

2606071034889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153766 (or 76883 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2606071034889 in words is "two trillion, six hundred six billion, seventy-one million, thirty-four thousand, eight hundred eighty-nine".