2084823360 has 280 divisors, whose sum is σ = 7469099616. Its totient is φ = 554273280.

The previous prime is 2084823359. The next prime is 2084823371. The reversal of 2084823360 is 633284802.

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 39 ways as a sum of consecutive naturals, for example, 6298395 + ... + 6298725.

Almost surely, 2^2084823360 is an apocalyptic number.

2084823360 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 2084823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734549808).

2084823360 is an abundant number, since it is smaller than the sum of its proper divisors (5384276256).

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

2084823360 is an frugal number, since it uses more digits than its factorization.

2084823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 341 counting only the distinct ones).

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

The square root of 2084823360 is about 45659.8659656377. The cubic root of 2084823360 is about 1277.4868004912.

The spelling of 2084823360 in words is "two billion, eighty-four million, eight hundred twenty-three thousand, three hundred sixty".