2300333213420 has 288 divisors, whose sum is σ = 5657898193920. Its totient is φ = 778677166080.

The previous prime is 2300333213401. The next prime is 2300333213473. The reversal of 2300333213420 is 243123330032.

2300333213420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2300333213420.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1055681891 + ... + 1055684069.

It is an arithmetic number, because the mean of its divisors is an integer number (19645479840).

Almost surely, 2^{2300333213420} is an apocalyptic number.

2300333213420 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 2300333213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828949096960).

2300333213420 is an abundant number, since it is smaller than the sum of its proper divisors (3357564980500).

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

2300333213420 is a wasteful number, since it uses less digits than its factorization.

2300333213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 2300333213420 its reverse (243123330032), we get a palindrome (2543456543452).

The spelling of 2300333213420 in words is "two trillion, three hundred billion, three hundred thirty-three million, two hundred thirteen thousand, four hundred twenty".