2413824 has 72 divisors (see below), whose sum is σ = 7358400. Its totient is φ = 688128.

The previous prime is 2413823. The next prime is 2413849. The reversal of 2413824 is 4283142.

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

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

It is a d-powerful number, because it can be written as 2¹³ + 4 + 1 + 3¹¹ + 8⁷ + 2¹⁷ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 2413794 and 2413803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413823) 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 7 ways as a sum of consecutive naturals, for example, 5152 + ... + 5600.

It is an arithmetic number, because the mean of its divisors is an integer number (102200).

2^2413824 is an apocalyptic number.

2413824 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 2413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679200).

2413824 is an abundant number, since it is smaller than the sum of its proper divisors (4944576).

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

2413824 is an equidigital number, since it uses as much as digits as its factorization.

2413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2413824 is about 1553.6486089203. The cubic root of 2413824 is about 134.1431602831.

2413824 divided by its sum of digits (24) gives a triangular number (100576 = T₄₄₈).

Adding to 2413824 its reverse (4283142), we get a palindrome (6696966).

It can be divided in two parts, 24 and 13824, that multiplied together give a 4-th power (331776 = 24⁴).

The spelling of 2413824 in words is "two million, four hundred thirteen thousand, eight hundred twenty-four".