2832104880 has 240 divisors, whose sum is σ = 10415467296. Its totient is φ = 683950080.

The previous prime is 2832104837. The next prime is 2832104887. The reversal of 2832104880 is 884012382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2832104887) 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 47 ways as a sum of consecutive naturals, for example, 2795254 + ... + 2796266.

Almost surely, 2^2832104880 is an apocalyptic number.

2832104880 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 2832104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207733648).

2832104880 is an abundant number, since it is smaller than the sum of its proper divisors (7583362416).

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

2832104880 is a wasteful number, since it uses less digits than its factorization.

2832104880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2832104880 is about 53217.5241814198. The cubic root of 2832104880 is about 1414.8262561004.

The spelling of 2832104880 in words is "two billion, eight hundred thirty-two million, one hundred four thousand, eight hundred eighty".