2682043713216 has 504 divisors, whose sum is σ = 9774251150976. Its totient is φ = 697952747520.

The previous prime is 2682043713211. The next prime is 2682043713263. The reversal of 2682043713216 is 6123173402862.

2682043713216 is a `hidden beast` number, since 2 + 6 + 82 + 0 + 437 + 132 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2682043713211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14783890 + ... + 14964206.

Almost surely, 2^{2682043713216} 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 2682043713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887125575488).

2682043713216 is an abundant number, since it is smaller than the sum of its proper divisors (7092207437760).

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

2682043713216 is a wasteful number, since it uses less digits than its factorization.

2682043713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180397 (or 180377 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2682043713216 in words is "two trillion, six hundred eighty-two billion, forty-three million, seven hundred thirteen thousand, two hundred sixteen".