2259256536 has 192 divisors, whose sum is σ = 6583449600. Its totient is φ = 725407488.

The previous prime is 2259256501. The next prime is 2259256537. The reversal of 2259256536 is 6356529522.

2259256536 is a `hidden beast` number, since 2 + 2 + 59 + 2 + 565 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2259256491 and 2259256500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259256537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7217916 + ... + 7218228.

It is an arithmetic number, because the mean of its divisors is an integer number (34288800).

Almost surely, 2^2259256536 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 2259256536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291724800).

2259256536 is an abundant number, since it is smaller than the sum of its proper divisors (4324193064).

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

2259256536 is a wasteful number, since it uses less digits than its factorization.

2259256536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 2259256536 is about 47531.6372114406. The cubic root of 2259256536 is about 1312.1652004824.

The spelling of 2259256536 in words is "two billion, two hundred fifty-nine million, two hundred fifty-six thousand, five hundred thirty-six".