2394144 has 96 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 746496.

The previous prime is 2394121. The next prime is 2394149. The reversal of 2394144 is 4414932.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (2394149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14607 + ... + 14769.

It is an arithmetic number, because the mean of its divisors is an integer number (77490).

2^2394144 is an apocalyptic number.

2394144 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 2394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520).

2394144 is an abundant number, since it is smaller than the sum of its proper divisors (5044896).

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

2394144 is a wasteful number, since it uses less digits than its factorization.

2394144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2394144 is about 1547.3021682916. The cubic root of 2394144 is about 133.7776069022. Note that the first 3 decimals are identical.

The spelling of 2394144 in words is "two million, three hundred ninety-four thousand, one hundred forty-four".