2305008690720 has 192 divisors, whose sum is σ = 7644238479360. Its totient is φ = 582217804800.

The previous prime is 2305008690679. The next prime is 2305008690769. The reversal of 2305008690720 is 270968005032.

It is a super-2 number, since 2×2305008690720² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 63010035 + ... + 63046605.

It is an arithmetic number, because the mean of its divisors is an integer number (39813742080).

Almost surely, 2^{2305008690720} is an apocalyptic number.

2305008690720 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 2305008690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822119239680).

2305008690720 is an abundant number, since it is smaller than the sum of its proper divisors (5339229788640).

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

2305008690720 is a wasteful number, since it uses less digits than its factorization.

2305008690720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43519 (or 43511 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 2305008690720 in words is "two trillion, three hundred five billion, eight million, six hundred ninety thousand, seven hundred twenty".