2814144 has 28 divisors (see below), whose sum is σ = 7446264. Its totient is φ = 937984.

The previous prime is 2814143. The next prime is 2814151. The reversal of 2814144 is 4414182.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (2814143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7137 + ... + 7520.

It is an arithmetic number, because the mean of its divisors is an integer number (265938).

2^2814144 is an apocalyptic number.

2814144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2814144 is an abundant number, since it is smaller than the sum of its proper divisors (4632120).

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

2814144 is a wasteful number, since it uses less digits than its factorization.

2814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672 (or 14662 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 2814144 is about 1677.5410576198. The cubic root of 2814144 is about 141.1829023214.

The spelling of 2814144 in words is "two million, eight hundred fourteen thousand, one hundred forty-four".