2821384248 has 128 divisors (see below), whose sum is σ = 7492608000. Its totient is φ = 883975680.

The previous prime is 2821384229. The next prime is 2821384249. The reversal of 2821384248 is 8424831282.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821384249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5214858 + ... + 5215398.

It is an arithmetic number, because the mean of its divisors is an integer number (58536000).

Almost surely, 2^2821384248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821384248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746304000).

2821384248 is an abundant number, since it is smaller than the sum of its proper divisors (4671223752).

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

2821384248 is a wasteful number, since it uses less digits than its factorization.

2821384248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 2821384248 is about 53116.7040393133. The cubic root of 2821384248 is about 1413.0387739545.

The spelling of 2821384248 in words is "two billion, eight hundred twenty-one million, three hundred eighty-four thousand, two hundred forty-eight".