2585428416 has 112 divisors (see below), whose sum is σ = 7862925600. Its totient is φ = 832075776.

The previous prime is 2585428403. The next prime is 2585428463. The reversal of 2585428416 is 6148245852.

2585428416 is a `hidden beast` number, since 2 + 585 + 4 + 28 + 41 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24316 + ... + 75908.

Almost surely, 2^2585428416 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 2585428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931462800).

2585428416 is an abundant number, since it is smaller than the sum of its proper divisors (5277497184).

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

2585428416 is a wasteful number, since it uses less digits than its factorization.

2585428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51643 (or 51627 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2585428416 is about 50847.1082363589. The cubic root of 2585428416 is about 1372.4952157258.

The spelling of 2585428416 in words is "two billion, five hundred eighty-five million, four hundred twenty-eight thousand, four hundred sixteen".