2585874060 has 324 divisors, whose sum is σ = 10033483824. Its totient is φ = 537102720.

The previous prime is 2585874043. The next prime is 2585874079. The reversal of 2585874060 is 604785852.

2585874060 is a `hidden beast` number, since 2 + 5 + 8 + 587 + 4 + 0 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2585873997 and 2585874015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1066009 + ... + 1068431.

Almost surely, 2^2585874060 is an apocalyptic number.

2585874060 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 2585874060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016741912).

2585874060 is an abundant number, since it is smaller than the sum of its proper divisors (7447609764).

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

2585874060 is a wasteful number, since it uses less digits than its factorization.

2585874060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2585874060 is about 50851.4902436497. The cubic root of 2585874060 is about 1372.5740690814.

The spelling of 2585874060 in words is "two billion, five hundred eighty-five million, eight hundred seventy-four thousand, sixty".