2583274528 has 48 divisors (see below), whose sum is σ = 5284802880. Its totient is φ = 1241502976.

The previous prime is 2583274513. The next prime is 2583274531. The reversal of 2583274528 is 8254723852.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204525 + ... + 216787.

It is an arithmetic number, because the mean of its divisors is an integer number (110100060).

Almost surely, 2^2583274528 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 2583274528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642401440).

2583274528 is an abundant number, since it is smaller than the sum of its proper divisors (2701528352).

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

2583274528 is a wasteful number, since it uses less digits than its factorization.

2583274528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529 (or 12521 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 46.

The square root of 2583274528 is about 50825.9237791110. The cubic root of 2583274528 is about 1372.1139736511.

The spelling of 2583274528 in words is "two billion, five hundred eighty-three million, two hundred seventy-four thousand, five hundred twenty-eight".