2014944 has 48 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 662400.

The previous prime is 2014939. The next prime is 2014951. The reversal of 2014944 is 4494102.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13269 + ... + 13419.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

2^2014944 is an apocalyptic number.

2014944 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 2014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2014944 is an abundant number, since it is smaller than the sum of its proper divisors (3347616).

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

2014944 is a wasteful number, since it uses less digits than its factorization.

2014944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2014944 is about 1419.4872313621. The cubic root of 2014944 is about 126.3051309720.

The spelling of 2014944 in words is "two million, fourteen thousand, nine hundred forty-four".