2580330883200 has 768 divisors, whose sum is σ = 10425681642240. Its totient is φ = 547474636800.

The previous prime is 2580330883181. The next prime is 2580330883223. The reversal of 2580330883200 is 23880330852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83379730 + ... + 83410670.

It is an arithmetic number, because the mean of its divisors is an integer number (13575106305).

Almost surely, 2^{2580330883200} is an apocalyptic number.

2580330883200 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 2580330883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212840821120).

2580330883200 is an abundant number, since it is smaller than the sum of its proper divisors (7845350759040).

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

2580330883200 is a wasteful number, since it uses less digits than its factorization.

2580330883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31065 (or 31048 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2580330883200 in words is "two trillion, five hundred eighty billion, three hundred thirty million, eight hundred eighty-three thousand, two hundred".