2832646144 has 60 divisors (see below), whose sum is σ = 5912215344. Its totient is φ = 1354563584.

The previous prime is 2832646123. The next prime is 2832646147. The reversal of 2832646144 is 4416462382.

It is a junction number, because it is equal to n+sod(n) for n = 2832646097 and 2832646106.

It is not an unprimeable number, because it can be changed into a prime (2832646147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 373074 + ... + 380590.

Almost surely, 2^2832646144 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 2832646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956107672).

2832646144 is an abundant number, since it is smaller than the sum of its proper divisors (3079569200).

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

2832646144 is an frugal number, since it uses more digits than its factorization.

2832646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7542 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 2832646144 is about 53222.6093309977. The cubic root of 2832646144 is about 1414.9163829107.

The spelling of 2832646144 in words is "two billion, eight hundred thirty-two million, six hundred forty-six thousand, one hundred forty-four".