2300145505840 has 320 divisors, whose sum is σ = 6677122636800. Its totient is φ = 717508546560.

The previous prime is 2300145505837. The next prime is 2300145505849. The reversal of 2300145505840 is 485055410032.

It is a self number, because there is not a number n which added to its sum of digits gives 2300145505840.

It is not an unprimeable number, because it can be changed into a prime (2300145505849) 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 63 ways as a sum of consecutive naturals, for example, 142090227 + ... + 142106413.

It is an arithmetic number, because the mean of its divisors is an integer number (20866008240).

Almost surely, 2^{2300145505840} is an apocalyptic number.

2300145505840 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 2300145505840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338561318400).

2300145505840 is an abundant number, since it is smaller than the sum of its proper divisors (4376977130960).

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

2300145505840 is a wasteful number, since it uses less digits than its factorization.

2300145505840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16500 (or 16494 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 2300145505840 in words is "two trillion, three hundred billion, one hundred forty-five million, five hundred five thousand, eight hundred forty".