2173824 has 128 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 663552.

The previous prime is 2173819. The next prime is 2173877. The reversal of 2173824 is 4283712.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58734 + ... + 58770.

2^2173824 is an apocalyptic number.

2173824 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 2173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

2173824 is an abundant number, since it is smaller than the sum of its proper divisors (4802976).

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

2173824 is a wasteful number, since it uses less digits than its factorization.

2173824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2173824 is about 1474.3893651271. The cubic root of 2173824 is about 129.5412628208.

The spelling of 2173824 in words is "two million, one hundred seventy-three thousand, eight hundred twenty-four".