2583924420 has 192 divisors, whose sum is σ = 9412816896. Its totient is φ = 513553920.

The previous prime is 2583924407. The next prime is 2583924439. The reversal of 2583924420 is 244293852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94102 + ... + 118418.

It is an arithmetic number, because the mean of its divisors is an integer number (49025088).

Almost surely, 2^2583924420 is an apocalyptic number.

2583924420 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 2583924420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706408448).

2583924420 is an abundant number, since it is smaller than the sum of its proper divisors (6828892476).

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

2583924420 is a wasteful number, since it uses less digits than its factorization.

2583924420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24370 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2583924420 is about 50832.3166892873. The cubic root of 2583924420 is about 1372.2290280283.

The spelling of 2583924420 in words is "two billion, five hundred eighty-three million, nine hundred twenty-four thousand, four hundred twenty".