2585067520 has 272 divisors, whose sum is σ = 7549689600. Its totient is φ = 847773696.

The previous prime is 2585067509. The next prime is 2585067523. The reversal of 2585067520 is 257605852.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585067523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112394229 + ... + 112394251.

Almost surely, 2^2585067520 is an apocalyptic number.

2585067520 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 2585067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774844800).

2585067520 is an abundant number, since it is smaller than the sum of its proper divisors (4964622080).

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

2585067520 is an frugal number, since it uses more digits than its factorization.

2585067520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 2585067520 is about 50843.5592774542. The cubic root of 2585067520 is about 1372.4313512512.

The spelling of 2585067520 in words is "two billion, five hundred eighty-five million, sixty-seven thousand, five hundred twenty".