2580282064800 has 1152 divisors, whose sum is σ = 10945099468800. Its totient is φ = 579944448000.

The previous prime is 2580282064757. The next prime is 2580282064853. The reversal of 2580282064800 is 84602820852.

2580282064800 is a `hidden beast` number, since 2 + 580 + 2 + 8 + 2 + 0 + 64 + 8 + 0 + 0 = 666.

2580282064800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 212170720 + ... + 212182880.

It is an arithmetic number, because the mean of its divisors is an integer number (9500954400).

Almost surely, 2^{2580282064800} is an apocalyptic number.

2580282064800 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 2580282064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472549734400).

2580282064800 is an abundant number, since it is smaller than the sum of its proper divisors (8364817404000).

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

2580282064800 is a wasteful number, since it uses less digits than its factorization.

2580282064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12267 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2580282064800 in words is "two trillion, five hundred eighty billion, two hundred eighty-two million, sixty-four thousand, eight hundred".