2584483020 has 288 divisors, whose sum is σ = 9339273216. Its totient is φ = 566092800.

The previous prime is 2584483007. The next prime is 2584483049. The reversal of 2584483020 is 203844852.

2584483020 is a `hidden beast` number, since 2 + 584 + 48 + 30 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4960360 + ... + 4960880.

It is an arithmetic number, because the mean of its divisors is an integer number (32428032).

Almost surely, 2^2584483020 is an apocalyptic number.

2584483020 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 2584483020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669636608).

2584483020 is an abundant number, since it is smaller than the sum of its proper divisors (6754790196).

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

2584483020 is a wasteful number, since it uses less digits than its factorization.

2584483020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2584483020 is about 50837.8109284812. The cubic root of 2584483020 is about 1372.3279050051.

The spelling of 2584483020 in words is "two billion, five hundred eighty-four million, four hundred eighty-three thousand, twenty".