2838458880 has 240 divisors, whose sum is σ = 9886476600. Its totient is φ = 752615424.

The previous prime is 2838458879. The next prime is 2838458947. The reversal of 2838458880 is 888548382.

2838458880 is a `hidden beast` number, since 28 + 38 + 4 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2430095616 + 408363264 = 49296^2 + 20208^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 8040784 + ... + 8041136.

Almost surely, 2^2838458880 is an apocalyptic number.

2838458880 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 2838458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943238300).

2838458880 is an abundant number, since it is smaller than the sum of its proper divisors (7048017720).

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

2838458880 is a wasteful number, since it uses less digits than its factorization.

2838458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The square root of 2838458880 is about 53277.1891150425. The cubic root of 2838458880 is about 1415.8835487878.

The spelling of 2838458880 in words is "two billion, eight hundred thirty-eight million, four hundred fifty-eight thousand, eight hundred eighty".