2300334220140 has 192 divisors, whose sum is σ = 7281532177920. Its totient is φ = 537481728000.

The previous prime is 2300334220081. The next prime is 2300334220181. The reversal of 2300334220140 is 410224330032.

2300334220140 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 2300334220140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10823700 + ... + 11034180.

It is an arithmetic number, because the mean of its divisors is an integer number (37924646760).

Almost surely, 2^{2300334220140} is an apocalyptic number.

2300334220140 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 2300334220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640766088960).

2300334220140 is an abundant number, since it is smaller than the sum of its proper divisors (4981197957780).

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

2300334220140 is a wasteful number, since it uses less digits than its factorization.

2300334220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211104 (or 211102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2300334220140 its reverse (410224330032), we get a palindrome (2710558550172).

The spelling of 2300334220140 in words is "two trillion, three hundred billion, three hundred thirty-four million, two hundred twenty thousand, one hundred forty".