2305434122055 has 80 divisors (see below), whose sum is σ = 4144911724800. Its totient is φ = 1225937161728.

The previous prime is 2305434122003. The next prime is 2305434122059. The reversal of 2305434122055 is 5502214345032.

2305434122055 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 434 + 12 + 205 + 5 = 666.

2305434122055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2305434122055 - 2²⁰ = 2305433073479 is a prime.

It is a super-2 number, since 2×2305434122055² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305434122059) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 290024221 + ... + 290032169.

It is an arithmetic number, because the mean of its divisors is an integer number (51811396560).

Almost surely, 2^{2305434122055} is an apocalyptic number.

2305434122055 is a deficient number, since it is larger than the sum of its proper divisors (1839477602745).

2305434122055 is a wasteful number, since it uses less digits than its factorization.

2305434122055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2305434122055 its reverse (5502214345032), we get a palindrome (7807648467087).

The spelling of 2305434122055 in words is "two trillion, three hundred five billion, four hundred thirty-four million, one hundred twenty-two thousand, fifty-five".