256008858240 has 64 divisors (see below), whose sum is σ = 816028241760. Its totient is φ = 68269028352.

The previous prime is 256008858239. The next prime is 256008858241. The reversal of 256008858240 is 42858800652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (256008858239) and next prime (256008858241).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256008858240.

It is not an unprimeable number, because it can be changed into a prime (256008858241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66667054 + ... + 66670893.

Almost surely, 2^256008858240 is an apocalyptic number.

256008858240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256008858240 is an abundant number, since it is smaller than the sum of its proper divisors (560019383520).

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

256008858240 is a wasteful number, since it uses less digits than its factorization.

256008858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133337969 (or 133337957 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 256008858240 in words is "two hundred fifty-six billion, eight million, eight hundred fifty-eight thousand, two hundred forty".