2882732160 has 1024 divisors, whose sum is σ = 12859637760. Its totient is φ = 530841600.

The previous prime is 2882732147. The next prime is 2882732183. The reversal of 2882732160 is 612372882.

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 127 ways as a sum of consecutive naturals, for example, 77911662 + ... + 77911698.

It is an arithmetic number, because the mean of its divisors is an integer number (12558240).

Almost surely, 2^2882732160 is an apocalyptic number.

2882732160 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 2882732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429818880).

2882732160 is an abundant number, since it is smaller than the sum of its proper divisors (9976905600).

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

2882732160 is a wasteful number, since it uses less digits than its factorization.

2882732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2882732160 is about 53691.0808235409. The cubic root of 2882732160 is about 1423.2070870822.

The spelling of 2882732160 in words is "two billion, eight hundred eighty-two million, seven hundred thirty-two thousand, one hundred sixty".