2424214240 has 192 divisors, whose sum is σ = 6744729600. Its totient is φ = 823011840.

The previous prime is 2424214217. The next prime is 2424214241. The reversal of 2424214240 is 424124242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424214241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8945305 + ... + 8945575.

It is an arithmetic number, because the mean of its divisors is an integer number (35128800).

Almost surely, 2^2424214240 is an apocalyptic number.

2424214240 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 2424214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372364800).

2424214240 is an abundant number, since it is smaller than the sum of its proper divisors (4320515360).

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

2424214240 is a wasteful number, since it uses less digits than its factorization.

2424214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 2424214240 is about 49236.3101785664. The cubic root of 2424214240 is about 1343.3535664448.

Adding to 2424214240 its reverse (424124242), we get a palindrome (2848338482).

The spelling of 2424214240 in words is "two billion, four hundred twenty-four million, two hundred fourteen thousand, two hundred forty".