2580270189120 has 2016 divisors, whose sum is σ = 10794013147008. Its totient is φ = 581765234688.

The previous prime is 2580270189073. The next prime is 2580270189191. The reversal of 2580270189120 is 219810720852.

2580270189120 is a `hidden beast` number, since 2 + 5 + 80 + 270 + 189 + 120 = 666.

It is a super-2 number, since 2×2580270189120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31087592599 + ... + 31087592681.

It is an arithmetic number, because the mean of its divisors is an integer number (5354173188).

Almost surely, 2^{2580270189120} is an apocalyptic number.

2580270189120 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 2580270189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397006573504).

2580270189120 is an abundant number, since it is smaller than the sum of its proper divisors (8213742957888).

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

2580270189120 is an equidigital number, since it uses as much as digits as its factorization.

2580270189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 2580270189120 in words is "two trillion, five hundred eighty billion, two hundred seventy million, one hundred eighty-nine thousand, one hundred twenty".