2305004240000 has 320 divisors, whose sum is σ = 7154093707200. Its totient is φ = 718440960000.

The previous prime is 2305004239999. The next prime is 2305004240003. The reversal of 2305004240000 is 424005032.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2305004240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5972906 + ... + 6347094.

It is an arithmetic number, because the mean of its divisors is an integer number (22356542835).

Almost surely, 2^{2305004240000} is an apocalyptic number.

2305004240000 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 2305004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577046853600).

2305004240000 is an abundant number, since it is smaller than the sum of its proper divisors (4849089467200).

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

2305004240000 is an equidigital number, since it uses as much as digits as its factorization.

2305004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374241 (or 374214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 2305004240000 its reverse (424005032), we get a palindrome (2305428245032).

The spelling of 2305004240000 in words is "two trillion, three hundred five billion, four million, two hundred forty thousand".