2583085080 has 128 divisors (see below), whose sum is σ = 7930897920. Its totient is φ = 672860160.

The previous prime is 2583085067. The next prime is 2583085123. The reversal of 2583085080 is 805803852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961419 + ... + 964101.

It is an arithmetic number, because the mean of its divisors is an integer number (61960140).

Almost surely, 2^2583085080 is an apocalyptic number.

2583085080 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 2583085080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965448960).

2583085080 is an abundant number, since it is smaller than the sum of its proper divisors (5347812840).

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

2583085080 is a wasteful number, since it uses less digits than its factorization.

2583085080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 2583085080 is about 50824.0600503344. The cubic root of 2583085080 is about 1372.0804308743.

The spelling of 2583085080 in words is "two billion, five hundred eighty-three million, eighty-five thousand, eighty".