2340442140000 has 240 divisors, whose sum is σ = 7680895326720. Its totient is φ = 623810880000.

The previous prime is 2340442139993. The next prime is 2340442140017. The reversal of 2340442140000 is 412440432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 138651561 + ... + 138668439.

It is an arithmetic number, because the mean of its divisors is an integer number (32003730528).

Almost surely, 2^{2340442140000} is an apocalyptic number.

2340442140000 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 2340442140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840447663360).

2340442140000 is an abundant number, since it is smaller than the sum of its proper divisors (5340453186720).

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

2340442140000 is a wasteful number, since it uses less digits than its factorization.

2340442140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223 (or 19200 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2340442140000 its reverse (412440432), we get a palindrome (2340854580432).

The spelling of 2340442140000 in words is "two trillion, three hundred forty billion, four hundred forty-two million, one hundred forty thousand".