2340103744000 has 320 divisors, whose sum is σ = 6428888953344. Its totient is φ = 842496000000.

The previous prime is 2340103743997. The next prime is 2340103744003. The reversal of 2340103744000 is 4473010432.

It is an interprime number because it is at equal distance from previous prime (2340103743997) and next prime (2340103744003).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2340103744000.

It is not an unprimeable number, because it can be changed into a prime (2340103744003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71087545 + ... + 71120455.

Almost surely, 2^{2340103744000} is an apocalyptic number.

2340103744000 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 2340103744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214444476672).

2340103744000 is an abundant number, since it is smaller than the sum of its proper divisors (4088785209344).

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

2340103744000 is a wasteful number, since it uses less digits than its factorization.

2340103744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33056 (or 33030 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 2340103744000 its reverse (4473010432), we get a palindrome (2344576754432).

The spelling of 2340103744000 in words is "two trillion, three hundred forty billion, one hundred three million, seven hundred forty-four thousand".