2084584320 has 768 divisors, whose sum is σ = 9169130880. Its totient is φ = 424673280.

The previous prime is 2084584309. The next prime is 2084584363. The reversal of 2084584320 is 234854802.

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

It is a congruent number.

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, 21490512 + ... + 21490608.

Almost surely, 2^2084584320 is an apocalyptic number.

2084584320 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 2084584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584565440).

2084584320 is an abundant number, since it is smaller than the sum of its proper divisors (7084546560).

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

2084584320 is a wasteful number, since it uses less digits than its factorization.

2084584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

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

The square root of 2084584320 is about 45657.2482745073. The cubic root of 2084584320 is about 1277.4379742737.

The spelling of 2084584320 in words is "two billion, eighty-four million, five hundred eighty-four thousand, three hundred twenty".