2823280920 has 192 divisors, whose sum is σ = 9651882240. Its totient is φ = 742089600.

The previous prime is 2823280919. The next prime is 2823280979. The reversal of 2823280920 is 290823282.

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, 688075 + ... + 692165.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^2823280920 is an apocalyptic number.

2823280920 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 2823280920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2823280920 is an abundant number, since it is smaller than the sum of its proper divisors (6828601320).

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

2823280920 is a wasteful number, since it uses less digits than its factorization.

2823280920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4172 counting only the distinct ones).

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

The square root of 2823280920 is about 53134.5548583970. The cubic root of 2823280920 is about 1413.3553408721.

The spelling of 2823280920 in words is "two billion, eight hundred twenty-three million, two hundred eighty thousand, nine hundred twenty".