2608765056 has 480 divisors, whose sum is σ = 8887350780. Its totient is φ = 756449280.

The previous prime is 2608765043. The next prime is 2608765079. The reversal of 2608765056 is 6505678062.

2608765056 is a `hidden beast` number, since 2 + 60 + 87 + 6 + 505 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2561979456 + 46785600 = 50616^2 + 6840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63628396 + ... + 63628436.

Almost surely, 2^2608765056 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 2608765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443675390).

2608765056 is an abundant number, since it is smaller than the sum of its proper divisors (6278585724).

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

2608765056 is a wasteful number, since it uses less digits than its factorization.

2608765056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2608765056 is about 51076.0712662985. The cubic root of 2608765056 is about 1376.6123333784.

The spelling of 2608765056 in words is "two billion, six hundred eight million, seven hundred sixty-five thousand, fifty-six".