2584985220 has 144 divisors (see below), whose sum is σ = 8292211200. Its totient is φ = 650764800.

The previous prime is 2584985219. The next prime is 2584985233. The reversal of 2584985220 is 225894852.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223131 + ... + 234429.

It is an arithmetic number, because the mean of its divisors is an integer number (57584800).

Almost surely, 2^2584985220 is an apocalyptic number.

2584985220 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 2584985220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146105600).

2584985220 is an abundant number, since it is smaller than the sum of its proper divisors (5707225980).

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

2584985220 is a wasteful number, since it uses less digits than its factorization.

2584985220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11386 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2584985220 is about 50842.7499256285. The cubic root of 2584985220 is about 1372.4167865382.

The spelling of 2584985220 in words is "two billion, five hundred eighty-four million, nine hundred eighty-five thousand, two hundred twenty".