2832176880 has 480 divisors, whose sum is σ = 11191992000. Its totient is φ = 654262272.

The previous prime is 2832176861. The next prime is 2832176887. The reversal of 2832176880 is 886712382.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832176887) 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 95 ways as a sum of consecutive naturals, for example, 8114946 + ... + 8115294.

It is an arithmetic number, because the mean of its divisors is an integer number (23316650).

Almost surely, 2^2832176880 is an apocalyptic number.

2832176880 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 2832176880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595996000).

2832176880 is an abundant number, since it is smaller than the sum of its proper divisors (8359815120).

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

2832176880 is a wasteful number, since it uses less digits than its factorization.

2832176880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2832176880 is about 53218.2006460196. The cubic root of 2832176880 is about 1414.8382456078.

The spelling of 2832176880 in words is "two billion, eight hundred thirty-two million, one hundred seventy-six thousand, eight hundred eighty".