2833201152 has 144 divisors (see below), whose sum is σ = 8487362520. Its totient is φ = 944234496.

The previous prime is 2833201141. The next prime is 2833201171. The reversal of 2833201152 is 2511023382.

2833201152 is a `hidden beast` number, since 283 + 320 + 11 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 494818 + ... + 500510.

Almost surely, 2^2833201152 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 2833201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243681260).

2833201152 is an abundant number, since it is smaller than the sum of its proper divisors (5654161368).

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

2833201152 is an frugal number, since it uses more digits than its factorization.

2833201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2833201152 is about 53227.8231003298. The cubic root of 2833201152 is about 1415.0087863372.

The spelling of 2833201152 in words is "two billion, eight hundred thirty-three million, two hundred one thousand, one hundred fifty-two".