2001340442214 has 112 divisors (see below), whose sum is σ = 4642473150432. Its totient is φ = 646293561984.

The previous prime is 2001340442173. The next prime is 2001340442219. The reversal of 2001340442214 is 4122440431002.

2001340442214 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 4 + 0 + 442 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001340442219) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12489807 + ... + 12649029.

Almost surely, 2^{2001340442214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001340442214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321236575216).

2001340442214 is an abundant number, since it is smaller than the sum of its proper divisors (2641132708218).

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

2001340442214 is a wasteful number, since it uses less digits than its factorization.

2001340442214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159513 (or 159498 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2001340442214 its reverse (4122440431002), we get a palindrome (6123780873216).

The spelling of 2001340442214 in words is "two trillion, one billion, three hundred forty million, four hundred forty-two thousand, two hundred fourteen".