2434420224 has 160 divisors (see below), whose sum is σ = 7246932000. Its totient is φ = 806879232.

The previous prime is 2434420207. The next prime is 2434420229. The reversal of 2434420224 is 4220244342.

2434420224 is a `hidden beast` number, since 2 + 434 + 4 + 2 + 0 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434420229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3165312 + ... + 3166080.

It is an arithmetic number, because the mean of its divisors is an integer number (45293325).

Almost surely, 2^2434420224 is an apocalyptic number.

2434420224 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 2434420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623466000).

2434420224 is an abundant number, since it is smaller than the sum of its proper divisors (4812511776).

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

2434420224 is an equidigital number, since it uses as much as digits as its factorization.

2434420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2434420224 is about 49339.8441829724. The cubic root of 2434420224 is about 1345.2361076728.

Adding to 2434420224 its reverse (4220244342), we get a palindrome (6654664566).

The spelling of 2434420224 in words is "two billion, four hundred thirty-four million, four hundred twenty thousand, two hundred twenty-four".