2582475408 has 60 divisors (see below), whose sum is σ = 7233471180. Its totient is φ = 860095488.

The previous prime is 2582475373. The next prime is 2582475409. The reversal of 2582475408 is 8045742852.

2582475408 is a `hidden beast` number, since 25 + 82 + 4 + 7 + 540 + 8 = 666.

2582475408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1891206144 + 691269264 = 43488^2 + 26292^2 .

It is not an unprimeable number, because it can be changed into a prime (2582475409) 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, 178660 + ... + 192572.

It is an arithmetic number, because the mean of its divisors is an integer number (120557853).

Almost surely, 2^2582475408 is an apocalyptic number.

It is an amenable number.

2582475408 is an abundant number, since it is smaller than the sum of its proper divisors (4650995772).

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

2582475408 is a wasteful number, since it uses less digits than its factorization.

2582475408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15216 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2582475408 is about 50818.0618284484. The cubic root of 2582475408 is about 1371.9724740686.

The spelling of 2582475408 in words is "two billion, five hundred eighty-two million, four hundred seventy-five thousand, four hundred eight".