2083229280 has 288 divisors, whose sum is σ = 8044178688. Its totient is φ = 504921600.

The previous prime is 2083229273. The next prime is 2083229353. The reversal of 2083229280 is 829223802.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 425245 + ... + 430115.

It is an arithmetic number, because the mean of its divisors is an integer number (27931176).

Almost surely, 2^2083229280 is an apocalyptic number.

2083229280 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 2083229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022089344).

2083229280 is an abundant number, since it is smaller than the sum of its proper divisors (5960949408).

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

2083229280 is a wasteful number, since it uses less digits than its factorization.

2083229280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2083229280 is about 45642.4065973739. The cubic root of 2083229280 is about 1277.1611237550.

The spelling of 2083229280 in words is "two billion, eighty-three million, two hundred twenty-nine thousand, two hundred eighty".