2564763336 has 96 divisors (see below), whose sum is σ = 7509590400. Its totient is φ = 788019840.

The previous prime is 2564763319. The next prime is 2564763343. The reversal of 2564763336 is 6333674652.

2564763336 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 7 + 633 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2564763291 and 2564763300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25281 + ... + 75951.

It is an arithmetic number, because the mean of its divisors is an integer number (78224900).

Almost surely, 2^2564763336 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 2564763336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754795200).

2564763336 is an abundant number, since it is smaller than the sum of its proper divisors (4944827064).

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

2564763336 is a wasteful number, since it uses less digits than its factorization.

2564763336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50739 (or 50732 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The square root of 2564763336 is about 50643.4925335921. The cubic root of 2564763336 is about 1368.8286889396.

The spelling of 2564763336 in words is "two billion, five hundred sixty-four million, seven hundred sixty-three thousand, three hundred thirty-six".