2580334197000 has 1024 divisors, whose sum is σ = 10052370432000. Its totient is φ = 537757056000.

The previous prime is 2580334196953. The next prime is 2580334197013. The reversal of 2580334197000 is 7914330852.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2807762541 + ... + 2807763459.

It is an arithmetic number, because the mean of its divisors is an integer number (9816768000).

Almost surely, 2^{2580334197000} is an apocalyptic number.

2580334197000 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 2580334197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026185216000).

2580334197000 is an abundant number, since it is smaller than the sum of its proper divisors (7472036235000).

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

2580334197000 is a wasteful number, since it uses less digits than its factorization.

2580334197000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 2580334197000 in words is "two trillion, five hundred eighty billion, three hundred thirty-four million, one hundred ninety-seven thousand".