2168240256 has 576 divisors, whose sum is σ = 8114483520. Its totient is φ = 543449088.

The previous prime is 2168240209. The next prime is 2168240273. The reversal of 2168240256 is 6520428612.

It is a happy number.

2168240256 is a `hidden beast` number, since 2 + 168 + 240 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2168240256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50424171 + ... + 50424213.

It is an arithmetic number, because the mean of its divisors is an integer number (14087645).

Almost surely, 2^2168240256 is an apocalyptic number.

2168240256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057241760).

2168240256 is an abundant number, since it is smaller than the sum of its proper divisors (5946243264).

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

2168240256 is a wasteful number, since it uses less digits than its factorization.

2168240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2168240256 is about 46564.3668055306. The cubic root of 2168240256 is about 1294.3025330454.

Adding to 2168240256 its reverse (6520428612), we get a palindrome (8688668868).

The spelling of 2168240256 in words is "two billion, one hundred sixty-eight million, two hundred forty thousand, two hundred fifty-six".