2831809248 has 168 divisors, whose sum is σ = 8800180200. Its totient is φ = 894115584.

The previous prime is 2831809237. The next prime is 2831809259. The reversal of 2831809248 is 8429081382.

2831809248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2831809237) and next prime (2831809259).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 440038 + ... + 446426.

It is an arithmetic number, because the mean of its divisors is an integer number (52382025).

Almost surely, 2^2831809248 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 2831809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400090100).

2831809248 is an abundant number, since it is smaller than the sum of its proper divisors (5968370952).

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

2831809248 is an equidigital number, since it uses as much as digits as its factorization.

2831809248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2831809248 is about 53214.7465276309. The cubic root of 2831809248 is about 1414.7770250528. Note that the first 3 decimals are identical.

The spelling of 2831809248 in words is "two billion, eight hundred thirty-one million, eight hundred nine thousand, two hundred forty-eight".