2585005680 has 160 divisors (see below), whose sum is σ = 8304611328. Its totient is φ = 664473600.

The previous prime is 2585005667. The next prime is 2585005681. The reversal of 2585005680 is 865005852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585005681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506765 + ... + 2507795.

Almost surely, 2^2585005680 is an apocalyptic number.

2585005680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152305664).

2585005680 is an abundant number, since it is smaller than the sum of its proper divisors (5719605648).

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

2585005680 is a wasteful number, since it uses less digits than its factorization.

2585005680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 2585005680 is about 50842.9511338593. The cubic root of 2585005680 is about 1372.4204073937.

The spelling of 2585005680 in words is "two billion, five hundred eighty-five million, five thousand, six hundred eighty".