2584245640 has 16 divisors (see below), whose sum is σ = 5814552780. Its totient is φ = 1033698240.

The previous prime is 2584245637. The next prime is 2584245673. The reversal of 2584245640 is 465424852.

It can be written as a sum of positive squares in 2 ways, for example, as 2572315524 + 11930116 = 50718^2 + 3454^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 64606141 = 2584245640 / (2 + 5 + 8 + 4 + 2 + 4 + 5 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2584245593 and 2584245602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32303031 + ... + 32303110.

Almost surely, 2^2584245640 is an apocalyptic number.

2584245640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2584245640 is an abundant number, since it is smaller than the sum of its proper divisors (3230307140).

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

2584245640 is a wasteful number, since it uses less digits than its factorization.

2584245640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64606152 (or 64606148 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The square root of 2584245640 is about 50835.4761952713. The cubic root of 2584245640 is about 1372.2858884561.

The spelling of 2584245640 in words is "two billion, five hundred eighty-four million, two hundred forty-five thousand, six hundred forty".