2583874328 has 64 divisors (see below), whose sum is σ = 5618833920. Its totient is φ = 1091059200.

The previous prime is 2583874327. The next prime is 2583874331. The reversal of 2583874328 is 8234783852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583874327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2932448 + ... + 2933328.

It is an arithmetic number, because the mean of its divisors is an integer number (87794280).

Almost surely, 2^2583874328 is an apocalyptic number.

2583874328 is a gapful number since it is divisible by the number (28) 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 2583874328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809416960).

2583874328 is an abundant number, since it is smaller than the sum of its proper divisors (3034959592).

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

2583874328 is a wasteful number, since it uses less digits than its factorization.

2583874328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The square root of 2583874328 is about 50831.8239688485. The cubic root of 2583874328 is about 1372.2201606197.

The spelling of 2583874328 in words is "two billion, five hundred eighty-three million, eight hundred seventy-four thousand, three hundred twenty-eight".