2838668382 has 64 divisors (see below), whose sum is σ = 6896344320. Its totient is φ = 858362400.

The previous prime is 2838668351. The next prime is 2838668407.

2838668382 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286788 + ... + 296520.

It is an arithmetic number, because the mean of its divisors is an integer number (107755380).

Almost surely, 2^2838668382 is an apocalyptic number.

2838668382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838668382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448172160).

2838668382 is an abundant number, since it is smaller than the sum of its proper divisors (4057675938).

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

2838668382 is a wasteful number, since it uses less digits than its factorization.

2838668382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10240 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2838668382 is about 53279.1552297894. The cubic root of 2838668382 is about 1415.9183826126.

The spelling of 2838668382 in words is "two billion, eight hundred thirty-eight million, six hundred sixty-eight thousand, three hundred eighty-two".