2566963152 has 90 divisors (see below), whose sum is σ = 7743154146. Its totient is φ = 789160320.

The previous prime is 2566963129. The next prime is 2566963163. The reversal of 2566963152 is 2513696652.

2566963152 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 9 + 631 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1777128336 + 789834816 = 42156^2 + 28104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2566963098 and 2566963107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2191527 + ... + 2192697.

Almost surely, 2^2566963152 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 2566963152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871577073).

2566963152 is an abundant number, since it is smaller than the sum of its proper divisors (5176190994).

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

2566963152 is a wasteful number, since it uses less digits than its factorization.

2566963152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 1189 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 2566963152 is about 50665.2065228200. The cubic root of 2566963152 is about 1369.2199285155.

The spelling of 2566963152 in words is "two billion, five hundred sixty-six million, nine hundred sixty-three thousand, one hundred fifty-two".