2424141440 has 128 divisors (see below), whose sum is σ = 6660126720. Its totient is φ = 826490880.

The previous prime is 2424141337. The next prime is 2424141451. The reversal of 2424141440 is 441414242.

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

It is a super-2 number, since 2×2424141440² = 11752923442250547200, which contains 22 as substring.

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, 854264 + ... + 857096.

It is an arithmetic number, because the mean of its divisors is an integer number (52032240).

Almost surely, 2^2424141440 is an apocalyptic number.

2424141440 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 2424141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330063360).

2424141440 is an abundant number, since it is smaller than the sum of its proper divisors (4235985280).

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

2424141440 is a wasteful number, since it uses less digits than its factorization.

2424141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 2424141440 is about 49235.5708812237. The cubic root of 2424141440 is about 1343.3401191846.

Adding to 2424141440 its reverse (441414242), we get a palindrome (2865555682).

The spelling of 2424141440 in words is "two billion, four hundred twenty-four million, one hundred forty-one thousand, four hundred forty".