2916144 has 120 divisors (see below), whose sum is σ = 10213632. Its totient is φ = 754560.

The previous prime is 2916143. The next prime is 2916149. The reversal of 2916144 is 4416192.

2916144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2916143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10957 + ... + 11219.

2^2916144 is an apocalyptic number.

2916144 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 2916144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106816).

2916144 is an abundant number, since it is smaller than the sum of its proper divisors (7297488).

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

2916144 is a wasteful number, since it uses less digits than its factorization.

2916144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2916144 is about 1707.6720996725. The cubic root of 2916144 is about 142.8684463437.

It can be divided in two parts, 2916 and 144, that multiplied together give a square (419904 = 648²).

The spelling of 2916144 in words is "two million, nine hundred sixteen thousand, one hundred forty-four".