2830782448 has 60 divisors (see below), whose sum is σ = 5951203920. Its totient is φ = 1303830528.

The previous prime is 2830782443. The next prime is 2830782467. The reversal of 2830782448 is 8442870382.

It is a junction number, because it is equal to n+sod(n) for n = 2830782398 and 2830782407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830782443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2008368 + ... + 2009776.

It is an arithmetic number, because the mean of its divisors is an integer number (99186732).

Almost surely, 2^2830782448 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 2830782448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975601960).

2830782448 is an abundant number, since it is smaller than the sum of its proper divisors (3120421472).

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

2830782448 is a wasteful number, since it uses less digits than its factorization.

2830782448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The square root of 2830782448 is about 53205.0979512302. The cubic root of 2830782448 is about 1414.6060073350.

The spelling of 2830782448 in words is "two billion, eight hundred thirty million, seven hundred eighty-two thousand, four hundred forty-eight".