2642034640014 has 192 divisors, whose sum is σ = 7479409766400. Its totient is φ = 667695026880.

The previous prime is 2642034640009. The next prime is 2642034640027. The reversal of 2642034640014 is 4100464302462.

2642034640014 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 0 + 3 + 4 + 640 + 0 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1987107 + ... + 3038529.

It is an arithmetic number, because the mean of its divisors is an integer number (38955259200).

Almost surely, 2^{2642034640014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642034640014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739704883200).

2642034640014 is an abundant number, since it is smaller than the sum of its proper divisors (4837375126386).

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

2642034640014 is a wasteful number, since it uses less digits than its factorization.

2642034640014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051500 (or 1051483 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 2642034640014 its reverse (4100464302462), we get a palindrome (6742498942476).

The spelling of 2642034640014 in words is "two trillion, six hundred forty-two billion, thirty-four million, six hundred forty thousand, fourteen".