2014342242000 has 640 divisors, whose sum is σ = 7331530752000. Its totient is φ = 471386880000.

The previous prime is 2014342241999. The next prime is 2014342242043. The reversal of 2014342242000 is 2422434102.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1020953014 + ... + 1020954986.

It is an arithmetic number, because the mean of its divisors is an integer number (11455516800).

Almost surely, 2^{2014342242000} is an apocalyptic number.

2014342242000 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 2014342242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665765376000).

2014342242000 is an abundant number, since it is smaller than the sum of its proper divisors (5317188510000).

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

2014342242000 is a wasteful number, since it uses less digits than its factorization.

2014342242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2524 counting only the distinct ones).

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

Adding to 2014342242000 its reverse (2422434102), we get a palindrome (2016764676102).

The spelling of 2014342242000 in words is "two trillion, fourteen billion, three hundred forty-two million, two hundred forty-two thousand".