2839464 has 48 divisors (see below), whose sum is σ = 7780500. Its totient is φ = 935424.

The previous prime is 2839457. The next prime is 2839469. The reversal of 2839464 is 4649382.

It is a happy number.

2839464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2722500 + 116964 = 1650^2 + 342^2 .

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

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 (2839469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7962 + ... + 8310.

2^2839464 is an apocalyptic number.

2839464 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 2839464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890250).

2839464 is an abundant number, since it is smaller than the sum of its proper divisors (4941036).

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

2839464 is a wasteful number, since it uses less digits than its factorization.

2839464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2839464 is about 1685.0709183889. The cubic root of 2839464 is about 141.6050654130.

The spelling of 2839464 in words is "two million, eight hundred thirty-nine thousand, four hundred sixty-four".