2566764288 has 432 divisors, whose sum is σ = 8713915392. Its totient is φ = 752716800.

The previous prime is 2566764253. The next prime is 2566764301. The reversal of 2566764288 is 8824676652.

2566764288 is a `hidden beast` number, since 2 + 566 + 76 + 4 + 2 + 8 + 8 = 666.

2566764288 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 (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82798833 + ... + 82798863.

Almost surely, 2^2566764288 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 2566764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356957696).

2566764288 is an abundant number, since it is smaller than the sum of its proper divisors (6147151104).

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

2566764288 is an frugal number, since it uses more digits than its factorization.

2566764288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2566764288 is about 50663.2439545673. The cubic root of 2566764288 is about 1369.1845695372.

The spelling of 2566764288 in words is "two billion, five hundred sixty-six million, seven hundred sixty-four thousand, two hundred eighty-eight".