2882772882 has 64 divisors (see below), whose sum is σ = 7027413120. Its totient is φ = 868708800.

The previous prime is 2882772859. The next prime is 2882772899.

2882772882 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94108 + ... + 120920.

It is an arithmetic number, because the mean of its divisors is an integer number (109803330).

Almost surely, 2^2882772882 is an apocalyptic number.

2882772882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2882772882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513706560).

2882772882 is an abundant number, since it is smaller than the sum of its proper divisors (4144640238).

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

2882772882 is a wasteful number, since it uses less digits than its factorization.

2882772882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27016 (or 27010 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 2882772882 is about 53691.4600471993. The cubic root of 2882772882 is about 1423.2137885449.

The spelling of 2882772882 in words is "two billion, eight hundred eighty-two million, seven hundred seventy-two thousand, eight hundred eighty-two".