2838478848000 has 1152 divisors, whose sum is σ = 10364253419520. Its totient is φ = 687026995200.

The previous prime is 2838478847977. The next prime is 2838478848031. The reversal of 2838478848000 is 8488748382.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 35930111961 + ... + 35930112039.

It is an arithmetic number, because the mean of its divisors is an integer number (8996747760).

Almost surely, 2^{2838478848000} is an apocalyptic number.

2838478848000 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 2838478848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182126709760).

2838478848000 is an abundant number, since it is smaller than the sum of its proper divisors (7525774571520).

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

2838478848000 is an frugal number, since it uses more digits than its factorization.

2838478848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 2838478848000 in words is "two trillion, eight hundred thirty-eight billion, four hundred seventy-eight million, eight hundred forty-eight thousand".