2342342442000 has 480 divisors, whose sum is σ = 8310400600320. Its totient is φ = 567173376000.

The previous prime is 2342342441987. The next prime is 2342342442017. The reversal of 2342342442000 is 2442432432.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 935812749 + ... + 935815251.

It is an arithmetic number, because the mean of its divisors is an integer number (17313334584).

Almost surely, 2^{2342342442000} is an apocalyptic number.

2342342442000 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 2342342442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155200300160).

2342342442000 is an abundant number, since it is smaller than the sum of its proper divisors (5968058158320).

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

2342342442000 is a wasteful number, since it uses less digits than its factorization.

2342342442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2342342442000 its reverse (2442432432), we get a palindrome (2344784874432).

The spelling of 2342342442000 in words is "two trillion, three hundred forty-two billion, three hundred forty-two million, four hundred forty-two thousand".