2464224 has 96 divisors (see below), whose sum is σ = 7822080. Its totient is φ = 663552.

The previous prime is 2464213. The next prime is 2464271. The reversal of 2464224 is 4224642.

It is a tau number, because it is divible by the number of its divisors (96).

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 junction number, because it is equal to n+sod(n) for n = 2464194 and 2464203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12672 + ... + 12864.

It is an arithmetic number, because the mean of its divisors is an integer number (81480).

2^2464224 is an apocalyptic number.

2464224 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 2464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911040).

2464224 is an abundant number, since it is smaller than the sum of its proper divisors (5357856).

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

2464224 is a wasteful number, since it uses less digits than its factorization.

2464224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2464224 is about 1569.7846986132. The cubic root of 2464224 is about 135.0703611271.

Adding to 2464224 its reverse (4224642), we get a palindrome (6688866).

The spelling of 2464224 in words is "two million, four hundred sixty-four thousand, two hundred twenty-four".