Is there anything in Islam to suggest that the one who memorises the Qur’aan with the numbers of its verses will have a greater reward than the one who is not like that?

Firstly: 

We ask Allah to make you
steadfast in adhering to goodness and guidance. 

In the answer to questions no.
14035 and 20803 we have discussed the
reward for memorising the Qur’aan and the status of its
bearers. We ask Allah not to deprive you of any of
that. 

Secondly: 

There is no text in Islam to
suggest that the one who memorises the Qur’aan with the
numbers of its verses will attain a greater reward or a
higher status than the one who memorises it without
that. 

Our advice to you is not to do
that and not to focus on it, because it is a kind of showing
off and time is too precious to spend it on something in
which there is no point and will not benefit you in your
religion or bring you closer to your Lord, may He be
exalted. 

You should pay attention to
perfecting your recitation and memorisation, and striving to
understand the verses and ponder their meanings, as well as
paying attention to acting upon what it says in it, regarding
as halaal what it permits and as haraam what it forbids, and
following its commands and avoiding what it prohibits. Acting
in accordance with the Qur’aan is the greatest aim behind
reading it and memorising it. 

It was narrated that ‘Abd-Allah
ibn Mas‘ood (may Allah be pleased with him) said: When one of
us learned ten verses, he would not move on from them until
he understood the meaning and acted upon them. 

Abu ‘Abd al-Rahmaan al-Sulami —
one of the Taabi‘een — said: Those who used to teach us the
Qur’aan, such as ‘Uthmaan ibn ‘Affaan, ‘Abd-Allah ibn Mas‘ood
and others, told us that when they learned ten verses from
the Prophet (blessings and peace of Allah be upon him) they
would not move on from them until they learned what was in
them of knowledge and action. And they said: So we learned
the Qur’aan and knowledge and action all together.
 

And Allah knows
best.