2300404340000 has 720 divisors, whose sum is σ = 6472614500352. Its totient is φ = 802593792000.

The previous prime is 2300404339999. The next prime is 2300404340033. The reversal of 2300404340000 is 434040032.

It is a happy number.

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

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 119 ways as a sum of consecutive naturals, for example, 9872979884 + ... + 9872980116.

Almost surely, 2^{2300404340000} is an apocalyptic number.

2300404340000 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 2300404340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236307250176).

2300404340000 is an abundant number, since it is smaller than the sum of its proper divisors (4172210160352).

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

2300404340000 is a wasteful number, since it uses less digits than its factorization.

2300404340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2300404340000 its reverse (434040032), we get a palindrome (2300838380032).

The spelling of 2300404340000 in words is "two trillion, three hundred billion, four hundred four million, three hundred forty thousand".