2305613688704 has 64 divisors (see below), whose sum is σ = 4639471534080. Its totient is φ = 1141201152000.

The previous prime is 2305613688617. The next prime is 2305613688731. The reversal of 2305613688704 is 4078863165032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 105882362 + ... + 105904134.

It is an arithmetic number, because the mean of its divisors is an integer number (72491742720).

Almost surely, 2^{2305613688704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305613688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319735767040).

2305613688704 is an abundant number, since it is smaller than the sum of its proper divisors (2333857845376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2305613688704 is a wasteful number, since it uses less digits than its factorization.

2305613688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30079 (or 30067 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 2305613688704 in words is "two trillion, three hundred five billion, six hundred thirteen million, six hundred eighty-eight thousand, seven hundred four".