2585705472 has 264 divisors, whose sum is σ = 8621964000. Its totient is φ = 731086848.

The previous prime is 2585705461. The next prime is 2585705483. The reversal of 2585705472 is 2745075852.

2585705472 is a `hidden beast` number, since 2 + 5 + 8 + 570 + 5 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2585705461) and next prime (2585705483).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9612154 + ... + 9612422.

Almost surely, 2^2585705472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310982000).

2585705472 is an abundant number, since it is smaller than the sum of its proper divisors (6036258528).

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

2585705472 is a wasteful number, since it uses less digits than its factorization.

2585705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 2585705472 is about 50849.8325660960. The cubic root of 2585705472 is about 1372.5442397676.

The spelling of 2585705472 in words is "two billion, five hundred eighty-five million, seven hundred five thousand, four hundred seventy-two".