2606245385769 has 27 divisors (see below), whose sum is σ = 3890156079069. Its totient is φ = 1681351772760.

The previous prime is 2606245385761. The next prime is 2606245385803. The reversal of 2606245385769 is 9675835426062.

The square root of 2606245385769 is 1614387.

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

2606245385769 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 2 + 4 + 53 + 8 + 576 + 9 = 666.

It is not a de Polignac number, because 2606245385769 - 2³ = 2606245385761 is a prime.

It is a super-2 number, since 2×2606245385769² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2606245385761) 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, 150129312 + ... + 150146670.

Almost surely, 2^{2606245385769} is an apocalyptic number.

2606245385769 is the 1614387-th square number.

2606245385769 is the 807194-th centered octagonal number.

It is an amenable number.

2606245385769 is a deficient number, since it is larger than the sum of its proper divisors (1283910693300).

2606245385769 is an frugal number, since it uses more digits than its factorization.

2606245385769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34786 (or 17393 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 2606245385769 in words is "two trillion, six hundred six billion, two hundred forty-five million, three hundred eighty-five thousand, seven hundred sixty-nine".