2565535896 has 384 divisors, whose sum is σ = 9218496000. Its totient is φ = 646652160.

The previous prime is 2565535883. The next prime is 2565535949. The reversal of 2565535896 is 6985355652.

2565535896 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 53 + 589 + 6 = 666.

2565535896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2565535896 is a nontrivial binomial coefficient, being equal to C(71632, 2).

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 95 ways as a sum of consecutive naturals, for example, 6769035 + ... + 6769413.

It is an arithmetic number, because the mean of its divisors is an integer number (24006500).

Almost surely, 2^2565535896 is an apocalyptic number.

2565535896 is the 71631-st triangular number and also the 35816-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565535896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609248000).

2565535896 is an abundant number, since it is smaller than the sum of its proper divisors (6652960104).

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

2565535896 is a wasteful number, since it uses less digits than its factorization.

2565535896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The square root of 2565535896 is about 50651.1193953302. The cubic root of 2565535896 is about 1368.9661150215.

The spelling of 2565535896 in words is "two billion, five hundred sixty-five million, five hundred thirty-five thousand, eight hundred ninety-six".