2119941316064 has 576 divisors, whose sum is σ = 5361863786496. Its totient is φ = 815443200000.

The previous prime is 2119941316063. The next prime is 2119941316067. The reversal of 2119941316064 is 4606131499112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119941316063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6404656379 + ... + 6404656709.

It is an arithmetic number, because the mean of its divisors is an integer number (9308791296).

Almost surely, 2^{2119941316064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119941316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680931893248).

2119941316064 is an abundant number, since it is smaller than the sum of its proper divisors (3241922470432).

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

2119941316064 is a wasteful number, since it uses less digits than its factorization.

2119941316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The spelling of 2119941316064 in words is "two trillion, one hundred nineteen billion, nine hundred forty-one million, three hundred sixteen thousand, sixty-four".