2833138944 has 504 divisors, whose sum is σ = 9651277440. Its totient is φ = 824131584.

The previous prime is 2833138939. The next prime is 2833138967. The reversal of 2833138944 is 4498313382.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2833138944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60279529 + ... + 60279575.

It is an arithmetic number, because the mean of its divisors is an integer number (19149360).

Almost surely, 2^2833138944 is an apocalyptic number.

2833138944 is a gapful number since it is divisible by the number (24) 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 2833138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825638720).

2833138944 is an abundant number, since it is smaller than the sum of its proper divisors (6818138496).

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

2833138944 is an equidigital number, since it uses as much as digits as its factorization.

2833138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2833138944 is about 53227.2387410807. The cubic root of 2833138944 is about 1414.9984299116.

The spelling of 2833138944 in words is "two billion, eight hundred thirty-three million, one hundred thirty-eight thousand, nine hundred forty-four".