2838638880 has 288 divisors, whose sum is σ = 12077589888. Its totient is φ = 589824000.

The previous prime is 2838638879. The next prime is 2838638899. The reversal of 2838638880 is 888368382.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 98080 + ... + 123680.

It is an arithmetic number, because the mean of its divisors is an integer number (41936076).

Almost surely, 2^2838638880 is an apocalyptic number.

2838638880 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 2838638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038794944).

2838638880 is an abundant number, since it is smaller than the sum of its proper divisors (9238951008).

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

2838638880 is a wasteful number, since it uses less digits than its factorization.

2838638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25640 (or 25629 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 2838638880 is about 53278.8783665722. The cubic root of 2838638880 is about 1415.9134774290.

The spelling of 2838638880 in words is "two billion, eight hundred thirty-eight million, six hundred thirty-eight thousand, eight hundred eighty".