2083823280 has 960 divisors, whose sum is σ = 9689379840. Its totient is φ = 401448960.

The previous prime is 2083823267. The next prime is 2083823323. The reversal of 2083823280 is 823283802.

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 191 ways as a sum of consecutive naturals, for example, 31101807 + ... + 31101873.

It is an arithmetic number, because the mean of its divisors is an integer number (10093104).

Almost surely, 2^2083823280 is an apocalyptic number.

2083823280 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 2083823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844689920).

2083823280 is an abundant number, since it is smaller than the sum of its proper divisors (7605556560).

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

2083823280 is a wasteful number, since it uses less digits than its factorization.

2083823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2083823280 is about 45648.9132400762. The cubic root of 2083823280 is about 1277.2824996756.

The spelling of 2083823280 in words is "two billion, eighty-three million, eight hundred twenty-three thousand, two hundred eighty".