2582500424256 has 63 divisors (see below), whose sum is σ = 7402381732291. Its totient is φ = 860820618624.

The previous prime is 2582500424249. The next prime is 2582500424267. The reversal of 2582500424256 is 6524240052852.

The square root of 2582500424256 is 1607016.

It is a perfect power (a square), and thus also a powerful number.

2582500424256 is a `hidden beast` number, since 2 + 5 + 82 + 500 + 42 + 4 + 25 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38534905 + ... + 38601863.

Almost surely, 2^{2582500424256} is an apocalyptic number.

2582500424256 is the 1607016-th square number.

It is an amenable number.

2582500424256 is an abundant number, since it is smaller than the sum of its proper divisors (4819881308035).

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

2582500424256 is an frugal number, since it uses more digits than its factorization.

2582500424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133936 (or 66964 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

It can be divided in two parts, 2582500 and 424256, that added together give a square (3006756 = 1734²).

The spelling of 2582500424256 in words is "two trillion, five hundred eighty-two billion, five hundred million, four hundred twenty-four thousand, two hundred fifty-six".