2883667968 has 144 divisors (see below), whose sum is σ = 8416453500. Its totient is φ = 951091200.

The previous prime is 2883667903. The next prime is 2883668059. The reversal of 2883667968 is 8697663882.

It can be written as a sum of positive squares in 2 ways, for example, as 2757510144 + 126157824 = 52512^2 + 11232^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 1860858 + ... + 1862406.

Almost surely, 2^2883667968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2883667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208226750).

2883667968 is an abundant number, since it is smaller than the sum of its proper divisors (5532785532).

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

2883667968 is a wasteful number, since it uses less digits than its factorization.

2883667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1655 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 2883667968 is about 53699.7948599434. The cubic root of 2883667968 is about 1423.3610734642.

The spelling of 2883667968 in words is "two billion, eight hundred eighty-three million, six hundred sixty-seven thousand, nine hundred sixty-eight".