2978304 has 80 divisors (see below), whose sum is σ = 9100608. Its totient is φ = 847872.

The previous prime is 2978303. The next prime is 2978317. The reversal of 2978304 is 4038792.

It is not an unprimeable number, because it can be changed into a prime (2978303) 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, 10614 + ... + 10890.

2^2978304 is an apocalyptic number.

2978304 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 2978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550304).

2978304 is an abundant number, since it is smaller than the sum of its proper divisors (6122304).

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

2978304 is an equidigital number, since it uses as much as digits as its factorization.

2978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2978304 is about 1725.7763470392. The cubic root of 2978304 is about 143.8764372141.

The spelling of 2978304 in words is "two million, nine hundred seventy-eight thousand, three hundred four".