2580008736 has 48 divisors (see below), whose sum is σ = 6775138944. Its totient is φ = 859670784.

The previous prime is 2580008719. The next prime is 2580008749. The reversal of 2580008736 is 6378000852.

2580008736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2580008694 and 2580008703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471810 + ... + 477246.

It is an arithmetic number, because the mean of its divisors is an integer number (141148728).

Almost surely, 2^2580008736 is an apocalyptic number.

It is an amenable number.

2580008736 is an abundant number, since it is smaller than the sum of its proper divisors (4195130208).

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

2580008736 is a wasteful number, since it uses less digits than its factorization.

2580008736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2580008736 is about 50793.7863916444. The cubic root of 2580008736 is about 1371.5355180984.

The spelling of 2580008736 in words is "two billion, five hundred eighty million, eight thousand, seven hundred thirty-six".