2832468320 has 192 divisors, whose sum is σ = 7799016960. Its totient is φ = 961228800.

The previous prime is 2832468271. The next prime is 2832468323. The reversal of 2832468320 is 238642382.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832468323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2373644 + ... + 2374836.

It is an arithmetic number, because the mean of its divisors is an integer number (40619880).

Almost surely, 2^2832468320 is an apocalyptic number.

2832468320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899508480).

2832468320 is an abundant number, since it is smaller than the sum of its proper divisors (4966548640).

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

2832468320 is a wasteful number, since it uses less digits than its factorization.

2832468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 2832468320 is about 53220.9387365537. The cubic root of 2832468320 is about 1414.8867743936.

The spelling of 2832468320 in words is "two billion, eight hundred thirty-two million, four hundred sixty-eight thousand, three hundred twenty".