2582084736 has 512 divisors, whose sum is σ = 9839001600. Its totient is φ = 646963200.

The previous prime is 2582084723. The next prime is 2582084753. The reversal of 2582084736 is 6374802852.

2582084736 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2582084691 and 2582084700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8249316 + ... + 8249628.

It is an arithmetic number, because the mean of its divisors is an integer number (19216800).

Almost surely, 2^2582084736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919500800).

2582084736 is an abundant number, since it is smaller than the sum of its proper divisors (7256916864).

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

2582084736 is a wasteful number, since it uses less digits than its factorization.

2582084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2582084736 is about 50814.2178528805. The cubic root of 2582084736 is about 1371.9032874452.

The spelling of 2582084736 in words is "two billion, five hundred eighty-two million, eighty-four thousand, seven hundred thirty-six".