2585243520 has 384 divisors, whose sum is σ = 9490284000. Its totient is φ = 665026560.

The previous prime is 2585243491. The next prime is 2585243527. The reversal of 2585243520 is 253425852.

It is a happy number.

2585243520 is a `hidden beast` number, since 2 + 585 + 24 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585243527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29047636 + ... + 29047724.

Almost surely, 2^2585243520 is an apocalyptic number.

2585243520 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 2585243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745142000).

2585243520 is an abundant number, since it is smaller than the sum of its proper divisors (6905040480).

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

2585243520 is an equidigital number, since it uses as much as digits as its factorization.

2585243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2585243520 is about 50845.2900473584. The cubic root of 2585243520 is about 1372.4624971090.

The spelling of 2585243520 in words is "two billion, five hundred eighty-five million, two hundred forty-three thousand, five hundred twenty".