2683056919680 has 384 divisors, whose sum is σ = 9595394265600. Its totient is φ = 690391080960.

The previous prime is 2683056919661. The next prime is 2683056919681. The reversal of 2683056919680 is 869196503862.

2683056919680 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 0 + 569 + 1 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2683056919681) 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 47 ways as a sum of consecutive naturals, for example, 19151326 + ... + 19290914.

It is an arithmetic number, because the mean of its divisors is an integer number (24988005900).

Almost surely, 2^{2683056919680} is an apocalyptic number.

2683056919680 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 2683056919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797697132800).

2683056919680 is an abundant number, since it is smaller than the sum of its proper divisors (6912337345920).

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

2683056919680 is a wasteful number, since it uses less digits than its factorization.

2683056919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139732 (or 139717 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 2683056919680 in words is "two trillion, six hundred eighty-three billion, fifty-six million, nine hundred nineteen thousand, six hundred eighty".