2401824 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 790272.

The previous prime is 2401807. The next prime is 2401871. The reversal of 2401824 is 4281042.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2401824.

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 7 ways as a sum of consecutive naturals, for example, 12094 + ... + 12290.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

2^2401824 is an apocalyptic number.

2401824 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 2401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2401824 is an abundant number, since it is smaller than the sum of its proper divisors (3984864).

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

2401824 is a wasteful number, since it uses less digits than its factorization.

2401824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2401824 is about 1549.7819201423. The cubic root of 2401824 is about 133.9204993637.

Adding to 2401824 its reverse (4281042), we get a palindrome (6682866).

It can be divided in two parts, 24018 and 24, that added together give a palindrome (24042).

The spelling of 2401824 in words is "two million, four hundred one thousand, eight hundred twenty-four".