2565706752 has 308 divisors, whose sum is σ = 8806292256. Its totient is φ = 731566080.

The previous prime is 2565706747. The next prime is 2565706753. The reversal of 2565706752 is 2576075652.

2565706752 is a `hidden beast` number, since 2 + 5 + 6 + 570 + 6 + 75 + 2 = 666.

It is a super-2 number, since 2×2565706752² = 13165702274516779008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2565706698 and 2565706707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565706753) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5225227 + ... + 5225717.

Almost surely, 2^2565706752 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 2565706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403146128).

2565706752 is an abundant number, since it is smaller than the sum of its proper divisors (6240585504).

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

2565706752 is an frugal number, since it uses more digits than its factorization.

2565706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 2565706752 is about 50652.8059637371. The cubic root of 2565706752 is about 1368.9965038489.

The spelling of 2565706752 in words is "two billion, five hundred sixty-five million, seven hundred six thousand, seven hundred fifty-two".