2668010819760 has 480 divisors, whose sum is σ = 10546855458048. Its totient is φ = 595883796480.

The previous prime is 2668010819723. The next prime is 2668010819777. The reversal of 2668010819760 is 679180108662.

It is a junction number, because it is equal to n+sod(n) for n = 2668010819697 and 2668010819706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53823307 + ... + 53872853.

Almost surely, 2^{2668010819760} is an apocalyptic number.

2668010819760 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 2668010819760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273427729024).

2668010819760 is an abundant number, since it is smaller than the sum of its proper divisors (7878844638288).

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

2668010819760 is a wasteful number, since it uses less digits than its factorization.

2668010819760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50113 (or 50104 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2668010819760 in words is "two trillion, six hundred sixty-eight billion, ten million, eight hundred nineteen thousand, seven hundred sixty".