2039424 has 64 divisors (see below), whose sum is σ = 5581440. Its totient is φ = 659456.

The previous prime is 2039423. The next prime is 2039437. The reversal of 2039424 is 4249302.

2039424 = T₄₆₇ + T₄₆₈ + ... + T₄₈₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 2039394 and 2039403.

It is not an unprimeable number, because it can be changed into a prime (2039423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17992 + ... + 18104.

It is an arithmetic number, because the mean of its divisors is an integer number (87210).

2^2039424 is an apocalyptic number.

2039424 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 2039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790720).

2039424 is an abundant number, since it is smaller than the sum of its proper divisors (3542016).

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

2039424 is a wasteful number, since it uses less digits than its factorization.

2039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2039424 is about 1428.0840311410. The cubic root of 2039424 is about 126.8145763710.

The spelling of 2039424 in words is "two million, thirty-nine thousand, four hundred twenty-four".