2832802560 has 216 divisors, whose sum is σ = 11201692320. Its totient is φ = 647479296.

The previous prime is 2832802529. The next prime is 2832802571. The reversal of 2832802560 is 652082382.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63076 + ... + 98204.

Almost surely, 2^2832802560 is an apocalyptic number.

2832802560 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 2832802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600846160).

2832802560 is an abundant number, since it is smaller than the sum of its proper divisors (8368889760).

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

2832802560 is a wasteful number, since it uses less digits than its factorization.

2832802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35163 (or 35146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2832802560 is about 53224.0787614027. The cubic root of 2832802560 is about 1414.9424258727.

The spelling of 2832802560 in words is "two billion, eight hundred thirty-two million, eight hundred two thousand, five hundred sixty".