2580599040 has 288 divisors, whose sum is σ = 8690564736. Its totient is φ = 651755520.

The previous prime is 2580599027. The next prime is 2580599059. The reversal of 2580599040 is 409950852.

It is a junction number, because it is equal to n+sod(n) for n = 2580598983 and 2580599001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5825059 + ... + 5825501.

It is an arithmetic number, because the mean of its divisors is an integer number (30175572).

Almost surely, 2^2580599040 is an apocalyptic number.

2580599040 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 2580599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345282368).

2580599040 is an abundant number, since it is smaller than the sum of its proper divisors (6109965696).

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

2580599040 is a wasteful number, since it uses less digits than its factorization.

2580599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2580599040 is about 50799.5968487940. The cubic root of 2580599040 is about 1371.6401122097.

The spelling of 2580599040 in words is "two billion, five hundred eighty million, five hundred ninety-nine thousand, forty".