2582068330800 has 2880 divisors, whose sum is σ = 12250415923200. Its totient is φ = 507915878400.

The previous prime is 2582068330733. The next prime is 2582068330811. The reversal of 2582068330800 is 80338602852.

2582068330800 is a `hidden beast` number, since 2 + 582 + 0 + 68 + 3 + 3 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6812845011 + ... + 6812845389.

It is an arithmetic number, because the mean of its divisors is an integer number (4253616640).

Almost surely, 2^{2582068330800} is an apocalyptic number.

2582068330800 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 2582068330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125207961600).

2582068330800 is an abundant number, since it is smaller than the sum of its proper divisors (9668347592400).

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

2582068330800 is a wasteful number, since it uses less digits than its factorization.

2582068330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2582068330800 in words is "two trillion, five hundred eighty-two billion, sixty-eight million, three hundred thirty thousand, eight hundred".