2084836320 has 600 divisors, whose sum is σ = 8711625384. Its totient is φ = 469421568.

The previous prime is 2084836319. The next prime is 2084836337. The reversal of 2084836320 is 236384802.

It is a super-2 number, since 2×2084836320² = 8693084962382284800, which contains 22 as substring.

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

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 31116927 + ... + 31116993.

Almost surely, 2^2084836320 is an apocalyptic number.

2084836320 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 2084836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355812692).

2084836320 is an abundant number, since it is smaller than the sum of its proper divisors (6626789064).

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

2084836320 is an frugal number, since it uses more digits than its factorization.

2084836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2084836320 is about 45660.0078843620. The cubic root of 2084836320 is about 1277.4894475891.

The spelling of 2084836320 in words is "two billion, eighty-four million, eight hundred thirty-six thousand, three hundred twenty".