2838456 has 64 divisors (see below), whose sum is σ = 8359200. Its totient is φ = 889344.

The previous prime is 2838449. The next prime is 2838457. The reversal of 2838456 is 6548382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2838456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3286 + ... + 4058.

2^2838456 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 2838456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179600).

2838456 is an abundant number, since it is smaller than the sum of its proper divisors (5520744).

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

2838456 is a wasteful number, since it uses less digits than its factorization.

2838456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2838456 is about 1684.7717946357. The cubic root of 2838456 is about 141.5883069919.

The spelling of 2838456 in words is "two million, eight hundred thirty-eight thousand, four hundred fifty-six".