2833142832 has 120 divisors (see below), whose sum is σ = 8855186704. Its totient is φ = 871720704.

The previous prime is 2833142813. The next prime is 2833142857. The reversal of 2833142832 is 2382413382.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22518 + ... + 78570.

Almost surely, 2^2833142832 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 2833142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427593352).

2833142832 is an abundant number, since it is smaller than the sum of its proper divisors (6022043872).

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

2833142832 is a wasteful number, since it uses less digits than its factorization.

2833142832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56089 (or 56071 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2833142832 is about 53227.2752637217. The cubic root of 2833142832 is about 1414.9990771927. Note that the first 3 decimals are identical.

It can be divided in two parts, 283314 and 2832, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 2833142832 in words is "two billion, eight hundred thirty-three million, one hundred forty-two thousand, eight hundred thirty-two".