256510080 has 96 divisors (see below), whose sum is σ = 885781260. Its totient is φ = 68401152.

The previous prime is 256510069. The next prime is 256510087. The reversal of 256510080 is 80015652.

256510080 is a `hidden beast` number, since 2 + 5 + 651 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 256256064 + 254016 = 16008^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×256510080² = 131594842283212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256510087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16507 + ... + 28026.

Almost surely, 2^256510080 is an apocalyptic number.

256510080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256510080 is an abundant number, since it is smaller than the sum of its proper divisors (629271180).

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

256510080 is a wasteful number, since it uses less digits than its factorization.

256510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44558 (or 44543 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 256510080 is about 16015.9320677880. The cubic root of 256510080 is about 635.3818605510.

The spelling of 256510080 in words is "two hundred fifty-six million, five hundred ten thousand, eighty".