2889600000 has 528 divisors, whose sum is σ = 11257779456. Its totient is φ = 645120000.

The previous prime is 2889599987. The next prime is 2889600019. The reversal of 2889600000 is 69882.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67199979 + ... + 67200021.

It is an arithmetic number, because the mean of its divisors is an integer number (21321552).

Almost surely, 2^2889600000 is an apocalyptic number.

2889600000 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 2889600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628889728).

2889600000 is an abundant number, since it is smaller than the sum of its proper divisors (8368179456).

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

2889600000 is an frugal number, since it uses more digits than its factorization.

2889600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2889600000 is about 53754.9997674635. Note that the first 3 decimals coincide. The cubic root of 2889600000 is about 1424.3364100197.

Adding to 2889600000 its reverse (69882), we get a palindrome (2889669882).

The spelling of 2889600000 in words is "two billion, eight hundred eighty-nine million, six hundred thousand".