2584120320 has 528 divisors, whose sum is σ = 9728130048. Its totient is φ = 656916480.

The previous prime is 2584120307. The next prime is 2584120321. The reversal of 2584120320 is 230214852.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2584120321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38568927 + ... + 38568993.

Almost surely, 2^2584120320 is an apocalyptic number.

2584120320 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 2584120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864065024).

2584120320 is an abundant number, since it is smaller than the sum of its proper divisors (7144009728).

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

2584120320 is an equidigital number, since it uses as much as digits as its factorization.

2584120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2584120320 is about 50834.2435765499. The cubic root of 2584120320 is about 1372.2637056258.

The spelling of 2584120320 in words is "two billion, five hundred eighty-four million, one hundred twenty thousand, three hundred twenty".