2424404424 has 128 divisors (see below), whose sum is σ = 6865689600. Its totient is φ = 707815680.

The previous prime is 2424404419. The next prime is 2424404449. The reversal of 2424404424 is 4244044242.

It is a super-3 number, since 3×2424404424³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2424404391 and 2424404400.

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, 938767 + ... + 941345.

It is an arithmetic number, because the mean of its divisors is an integer number (53638200).

Almost surely, 2^2424404424 is an apocalyptic number.

2424404424 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 2424404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432844800).

2424404424 is an abundant number, since it is smaller than the sum of its proper divisors (4441285176).

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

2424404424 is a wasteful number, since it uses less digits than its factorization.

2424404424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 2424404424 is about 49238.2414795655. The cubic root of 2424404424 is about 1343.3886950333.

Adding to 2424404424 its reverse (4244044242), we get a palindrome (6668448666).

It can be divided in two parts, 2 and 424404424, that multiplied together give a palindrome (848808848).

The spelling of 2424404424 in words is "two billion, four hundred twenty-four million, four hundred four thousand, four hundred twenty-four".