2305386048 has 448 divisors, whose sum is σ = 7963619328. Its totient is φ = 573112320.

The previous prime is 2305386023. The next prime is 2305386091. The reversal of 2305386048 is 8406835032.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2305385997 and 2305386015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21545611 + ... + 21545717.

It is an arithmetic number, because the mean of its divisors is an integer number (17775936).

Almost surely, 2^2305386048 is an apocalyptic number.

2305386048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981809664).

2305386048 is an abundant number, since it is smaller than the sum of its proper divisors (5658233280).

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

2305386048 is a wasteful number, since it uses less digits than its factorization.

2305386048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2305386048 is about 48014.4358292379. The cubic root of 2305386048 is about 1321.0356977190.

The spelling of 2305386048 in words is "two billion, three hundred five million, three hundred eighty-six thousand, forty-eight".