2842791336 has 256 divisors, whose sum is σ = 10015488000. Its totient is φ = 725621760.

The previous prime is 2842791313. The next prime is 2842791337. The reversal of 2842791336 is 6331972482.

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

It is a junction number, because it is equal to n+sod(n) for n = 2842791291 and 2842791300.

It is not an unprimeable number, because it can be changed into a prime (2842791337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979840 + ... + 982736.

It is an arithmetic number, because the mean of its divisors is an integer number (39123000).

Almost surely, 2^2842791336 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 2842791336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744000).

2842791336 is an abundant number, since it is smaller than the sum of its proper divisors (7172696664).

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

2842791336 is a wasteful number, since it uses less digits than its factorization.

2842791336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2979 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2842791336 is about 53317.8331892811. The cubic root of 2842791336 is about 1416.6035562628.

The spelling of 2842791336 in words is "two billion, eight hundred forty-two million, seven hundred ninety-one thousand, three hundred thirty-six".