2260457634305 has 8 divisors (see below), whose sum is σ = 2921206789032. Its totient is φ = 1669261022208.

The previous prime is 2260457634289. The next prime is 2260457634311. The reversal of 2260457634305 is 5034367540622.

It can be written as a sum of positive squares in 4 ways, for example, as 123925824961 + 2136531809344 = 352031^2 + 1461688^2 .

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

It is not a de Polignac number, because 2260457634305 - 2⁴ = 2260457634289 is a prime.

It is a super-2 number, since 2×2260457634305² (a number of 26 digits) contains 22 as substring.

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 2260457634305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17388135584 + ... + 17388135713.

It is an arithmetic number, because the mean of its divisors is an integer number (365150848629).

Almost surely, 2^{2260457634305} is an apocalyptic number.

It is an amenable number.

2260457634305 is a deficient number, since it is larger than the sum of its proper divisors (660749154727).

2260457634305 is a wasteful number, since it uses less digits than its factorization.

2260457634305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34776271315.

The product of its (nonzero) digits is 3628800, while the sum is 47.

The spelling of 2260457634305 in words is "two trillion, two hundred sixty billion, four hundred fifty-seven million, six hundred thirty-four thousand, three hundred five".