2305805040 has 720 divisors, whose sum is σ = 10291008000. Its totient is φ = 451630080.

The previous prime is 2305805023. The next prime is 2305805041. The reversal of 2305805040 is 405085032.

2305805040 is a `hidden beast` number, since 2 + 30 + 580 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 2305804995 and 2305805013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305805041) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11586861 + ... + 11587059.

Almost surely, 2^2305805040 is an apocalyptic number.

2305805040 is a gapful number since it is divisible by the number (20) 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 2305805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504000).

2305805040 is an abundant number, since it is smaller than the sum of its proper divisors (7985202960).

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

2305805040 is a wasteful number, since it uses less digits than its factorization.

2305805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2305805040 is about 48018.7988187960. The cubic root of 2305805040 is about 1321.1157233414.

The spelling of 2305805040 in words is "two billion, three hundred five million, eight hundred five thousand, forty".