2424240 has 240 divisors, whose sum is σ = 10291008. Its totient is φ = 497664.

The previous prime is 2424209. The next prime is 2424241. The reversal of 2424240 is 424242.

2424240 is a `hidden beast` number, since 2 + 424 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65502 + ... + 65538.

2^2424240 is an apocalyptic number.

2424240 is a gapful number since it is divisible by the number (20) 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 2424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

2424240 is an abundant number, since it is smaller than the sum of its proper divisors (7866768).

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

2424240 is a wasteful number, since it uses less digits than its factorization.

2424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2424240 is about 1556.9971098239. The cubic root of 2424240 is about 134.3358324642.

Adding to 2424240 its reverse (424242), we get a palindrome (2848482).

The spelling of 2424240 in words is "two million, four hundred twenty-four thousand, two hundred forty".