2424134440 has 128 divisors (see below), whose sum is σ = 6730859520. Its totient is φ = 765158400.

The previous prime is 2424134429. The next prime is 2424134459. The reversal of 2424134440 is 444314242.

It is a super-2 number, since 2×2424134440² = 11752855566388227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2424134399 and 2424134408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1968625 + ... + 1969855.

It is an arithmetic number, because the mean of its divisors is an integer number (52584840).

Almost surely, 2^2424134440 is an apocalyptic number.

2424134440 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 2424134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365429760).

2424134440 is an abundant number, since it is smaller than the sum of its proper divisors (4306725080).

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

2424134440 is a wasteful number, since it uses less digits than its factorization.

2424134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2424134440 is about 49235.4997943557. The cubic root of 2424134440 is about 1343.3388261646.

Adding to 2424134440 its reverse (444314242), we get a palindrome (2868448682).

The spelling of 2424134440 in words is "two billion, four hundred twenty-four million, one hundred thirty-four thousand, four hundred forty".