2838144 has 64 divisors (see below), whose sum is σ = 7956000. Its totient is φ = 893952.

The previous prime is 2838139. The next prime is 2838149. The reversal of 2838144 is 4418382.

It is an interprime number because it is at equal distance from previous prime (2838139) and next prime (2838149).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2838144² = 16110122729472, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2838149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7102 + ... + 7490.

2^2838144 is an apocalyptic number.

2838144 is a gapful number since it is divisible by the number (24) 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 2838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978000).

2838144 is an abundant number, since it is smaller than the sum of its proper divisors (5117856).

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

2838144 is a wasteful number, since it uses less digits than its factorization.

2838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 2838144 is about 1684.6791979484. The cubic root of 2838144 is about 141.5831190575.

The spelling of 2838144 in words is "two million, eight hundred thirty-eight thousand, one hundred forty-four".