2823330420 has 288 divisors, whose sum is σ = 9431106048. Its totient is φ = 680841216.

The previous prime is 2823330413. The next prime is 2823330457. The reversal of 2823330420 is 240333282.

2823330420 is a `hidden beast` number, since 2 + 8 + 233 + 3 + 0 + 420 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9635794 + ... + 9636086.

It is an arithmetic number, because the mean of its divisors is an integer number (32746896).

Almost surely, 2^2823330420 is an apocalyptic number.

2823330420 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 2823330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715553024).

2823330420 is an abundant number, since it is smaller than the sum of its proper divisors (6607775628).

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

2823330420 is a wasteful number, since it uses less digits than its factorization.

2823330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2823330420 is about 53135.0206549315. The cubic root of 2823330420 is about 1413.3636008460.

It can be divided in two parts, 28233 and 30420, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 2823330420 in words is "two billion, eight hundred twenty-three million, three hundred thirty thousand, four hundred twenty".