2603856640609 has 27 divisors (see below), whose sum is σ = 3137419873497. Its totient is φ = 2154644747808.

The previous prime is 2603856640607. The next prime is 2603856640709. The reversal of 2603856640609 is 9060466583062.

The square root of 2603856640609 is 1613647.

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

2603856640609 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 22591009 + 2603834049600 = 4753^2 + 1613640^2 .

It is not a de Polignac number, because 2603856640609 - 2¹ = 2603856640607 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2603856640609.

It is not an unprimeable number, because it can be changed into a prime (2603856640607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 327566367 + ... + 327574315.

Almost surely, 2^{2603856640609} is an apocalyptic number.

2603856640609 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2603856640609 is the 1613647-th square number.

2603856640609 is the 806824-th centered octagonal number.

It is an amenable number.

2603856640609 is a deficient number, since it is larger than the sum of its proper divisors (533563232888).

2603856640609 is an frugal number, since it uses more digits than its factorization.

2603856640609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15970 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 2603856640609 in words is "two trillion, six hundred three billion, eight hundred fifty-six million, six hundred forty thousand, six hundred nine".