2789332000 has 384 divisors, whose sum is σ = 8629770240. Its totient is φ = 862617600.

The previous prime is 2789331997. The next prime is 2789332009. The reversal of 2789332000 is 2339872.

It is not an unprimeable number, because it can be changed into a prime (2789332009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28755952 + ... + 28756048.

It is an arithmetic number, because the mean of its divisors is an integer number (22473360).

Almost surely, 2^2789332000 is an apocalyptic number.

2789332000 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 2789332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314885120).

2789332000 is an abundant number, since it is smaller than the sum of its proper divisors (5840438240).

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

2789332000 is a wasteful number, since it uses less digits than its factorization.

2789332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2789332000 is about 52814.1268980185. The cubic root of 2789332000 is about 1407.6674543933.

The spelling of 2789332000 in words is "two billion, seven hundred eighty-nine million, three hundred thirty-two thousand".