2738304 has 48 divisors (see below), whose sum is σ = 7883070. Its totient is φ = 912384.

The previous prime is 2738291. The next prime is 2738317. The reversal of 2738304 is 4038372.

It is an interprime number because it is at equal distance from previous prime (2738291) and next prime (2738317).

It can be written as a sum of positive squares in only one way, i.e., 2433600 + 304704 = 1560^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37 + ... + 2340.

2^2738304 is an apocalyptic number.

2738304 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 2738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941535).

2738304 is an abundant number, since it is smaller than the sum of its proper divisors (5144766).

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

2738304 is a wasteful number, since it uses less digits than its factorization.

2738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2738304 is about 1654.7821608901. The cubic root of 2738304 is about 139.9030621461.

Adding to 2738304 its product of nonzero digits (4032), we get a square (2742336 = 1656²).

The spelling of 2738304 in words is "two million, seven hundred thirty-eight thousand, three hundred four".