2123424 has 72 divisors (see below), whose sum is σ = 6181812. Its totient is φ = 691200.

The previous prime is 2123423. The next prime is 2123461. The reversal of 2123424 is 4243212.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 219024 = 1380^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 2123397 and 2123406.

It is not an unprimeable number, because it can be changed into a prime (2123423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20974 + ... + 21074.

2^2123424 is an apocalyptic number.

2123424 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 2123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090906).

2123424 is an abundant number, since it is smaller than the sum of its proper divisors (4058388).

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

2123424 is a wasteful number, since it uses less digits than its factorization.

2123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2123424 is about 1457.1973099069. The cubic root of 2123424 is about 128.5322886153.

Adding to 2123424 its reverse (4243212), we get a palindrome (6366636).

The spelling of 2123424 in words is "two million, one hundred twenty-three thousand, four hundred twenty-four".