2580755850120 has 512 divisors, whose sum is σ = 9063393730560. Its totient is φ = 575769600000.

The previous prime is 2580755850097. The next prime is 2580755850137. The reversal of 2580755850120 is 210585570852.

It is a self number, because there is not a number n which added to its sum of digits gives 2580755850120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2455523595 + ... + 2455524645.

It is an arithmetic number, because the mean of its divisors is an integer number (17701940880).

Almost surely, 2^{2580755850120} is an apocalyptic number.

2580755850120 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 2580755850120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531696865280).

2580755850120 is an abundant number, since it is smaller than the sum of its proper divisors (6482637880440).

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

2580755850120 is a wasteful number, since it uses less digits than its factorization.

2580755850120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 48.

The spelling of 2580755850120 in words is "two trillion, five hundred eighty billion, seven hundred fifty-five million, eight hundred fifty thousand, one hundred twenty".