There are 3 main types of Atheism: birth or natural atheism, biblical atheism, and unbelieving atheism.

Atheism comes two Greek components:
a=without and theos=god
From there, men revolve around the word to voice out unbelief which is not hinted anywhere in the etymology of the word.

ATHEISM IS NOT UNBELIEF

1. Birth Atheism 

At birth, we are born atheists because we lack the faculty to choose the Hebrew God (Jesus) or a pagan god. As we grow up, we develop the faculties to not choose or to choose between God and gods.

>>>>Many atheists are not at all opposed to belief in gods, they simply don’t themselves participate. It would be confusing and counter-productive to ascribe to them an ideology they don’t hold. Alas, that’s the kind of thing stupid people are apt to do. Carl Smotricz.>>>>

2. Biblical Atheism

When the born atheist hears the voice of Jesus and follows after Him, the born atheist does not become a theist because, as a believer in God (Jesus), the born atheist is forbidden to also choose and follow another god of any kind (the beast, a spiritual leader, a graven image, anything or anyone whom a man bows to and obeys in religious matters).
A follower after Jesus is a biblical atheist, or a divine atheist.
Atheist because if we bow to another kind of god besides Jesus we become a theist, one who worships any god besides Messiah Jehovah, Jesus.

3. Unbelieving Atheism

When the born atheist does not hear the voice of Jesus, rejects His voice to follow oneself or another voice to do his will, to prostrate or to bows to another, the born atheist has chosen theism, which Jesus forbids, to become a theist.

4. God (Jesus) is the Atheist.

Jesus does not bow to Satan, to men, to the works of His hands and declares that there is no God (atheism) besides Him in Isaiah 45:21, et cetera.

4. Antitheism

Anti-god with the idea of causing harm.

Isaiah 7:14 ASV
(14)  Therefore the Lord himself will give you a sign: behold, a virgin shall conceive, and bear a son, and shall call his name Immanuel.

Matthew 1:21 ASV
(21)  And she shall bring forth a son; and thou shalt call his name JESUS; for it is he that shall save his people from their sins.

John 8:24 ASV
(24)  I said therefore unto you, that ye shall die in your sins: for except ye believe that I am he, ye shall die in your sins.