2068409548800 has 1224 divisors, whose sum is σ = 8772613487040. Its totient is φ = 455815987200.

The previous prime is 2068409548789. The next prime is 2068409548811. The reversal of 2068409548800 is 88459048602.

It is an interprime number because it is at equal distance from previous prime (2068409548789) and next prime (2068409548811).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2993356455 + ... + 2993357145.

Almost surely, 2^{2068409548800} is an apocalyptic number.

2068409548800 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 2068409548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386306743520).

2068409548800 is an abundant number, since it is smaller than the sum of its proper divisors (6704203938240).

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

2068409548800 is an equidigital number, since it uses as much as digits as its factorization.

2068409548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2068409548800 in words is "two trillion, sixty-eight billion, four hundred nine million, five hundred forty-eight thousand, eight hundred".