2580605085760 has 224 divisors, whose sum is σ = 6908771584512. Its totient is φ = 910978252800.

The previous prime is 2580605085647. The next prime is 2580605085797. The reversal of 2580605085760 is 675805060852.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2580605085698 and 2580605085707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254216685 + ... + 254226835.

It is an arithmetic number, because the mean of its divisors is an integer number (30842730288).

Almost surely, 2^{2580605085760} is an apocalyptic number.

2580605085760 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 2580605085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454385792256).

2580605085760 is an abundant number, since it is smaller than the sum of its proper divisors (4328166498752).

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

2580605085760 is a wasteful number, since it uses less digits than its factorization.

2580605085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12861 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 2580605085760 in words is "two trillion, five hundred eighty billion, six hundred five million, eighty-five thousand, seven hundred sixty".