2833849152 has 280 divisors, whose sum is σ = 8777630400. Its totient is φ = 903260160.

The previous prime is 2833849141. The next prime is 2833849181. The reversal of 2833849152 is 2519483382.

2833849152 is a `hidden beast` number, since 2 + 83 + 38 + 491 + 52 = 666.

It is a super-2 number, since 2×2833849152² = 16061402032582238208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2833849098 and 2833849107.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 14240349 + ... + 14240547.

It is an arithmetic number, because the mean of its divisors is an integer number (31348680).

Almost surely, 2^2833849152 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 2833849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388815200).

2833849152 is an abundant number, since it is smaller than the sum of its proper divisors (5943781248).

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

2833849152 is a wasteful number, since it uses less digits than its factorization.

2833849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2833849152 is about 53233.9097944158. The cubic root of 2833849152 is about 1415.1166567575.

The spelling of 2833849152 in words is "two billion, eight hundred thirty-three million, eight hundred forty-nine thousand, one hundred fifty-two".