2838882816 has 600 divisors, whose sum is σ = 10837449216. Its totient is φ = 731566080.

The previous prime is 2838882793. The next prime is 2838882829. The reversal of 2838882816 is 6182888382.

2838882816 is a `hidden beast` number, since 283 + 8 + 88 + 281 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 59 ways as a sum of consecutive naturals, for example, 22353345 + ... + 22353471.

Almost surely, 2^2838882816 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 2838882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418724608).

2838882816 is an abundant number, since it is smaller than the sum of its proper divisors (7998566400).

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

2838882816 is a wasteful number, since it uses less digits than its factorization.

2838882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 2838882816 is about 53281.1675547749. The cubic root of 2838882816 is about 1415.9540347044.

The spelling of 2838882816 in words is "two billion, eight hundred thirty-eight million, eight hundred eighty-two thousand, eight hundred sixteen".