2068494580800 has 336 divisors, whose sum is σ = 7618180669120. Its totient is φ = 545910865920.

The previous prime is 2068494580777. The next prime is 2068494580829. The reversal of 2068494580800 is 80854948602.

2068494580800 is a `hidden beast` number, since 20 + 6 + 8 + 494 + 58 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3943587 + ... + 4437213.

Almost surely, 2^{2068494580800} is an apocalyptic number.

2068494580800 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 2068494580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809090334560).

2068494580800 is an abundant number, since it is smaller than the sum of its proper divisors (5549686088320).

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

2068494580800 is a wasteful number, since it uses less digits than its factorization.

2068494580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493755 (or 493734 counting only the distinct ones).

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

The spelling of 2068494580800 in words is "two trillion, sixty-eight billion, four hundred ninety-four million, five hundred eighty thousand, eight hundred".