2430624420 has 108 divisors (see below), whose sum is σ = 8576663004. Its totient is φ = 555569280.

The previous prime is 2430624397. The next prime is 2430624431. The reversal of 2430624420 is 244260342.

2430624420 is a `hidden beast` number, since 2 + 4 + 30 + 624 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 399680064 + 2030944356 = 19992^2 + 45066^2 .

It is a super-2 number, since 2×2430624420² = 11815870142200672800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128971 + ... + 146610.

Almost surely, 2^2430624420 is an apocalyptic number.

2430624420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430624420 is an abundant number, since it is smaller than the sum of its proper divisors (6146038584).

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

2430624420 is a wasteful number, since it uses less digits than its factorization.

2430624420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275610 (or 275598 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2430624420 is about 49301.3632671552. The cubic root of 2430624420 is about 1344.5365696092.

Adding to 2430624420 its reverse (244260342), we get a palindrome (2674884762).

The spelling of 2430624420 in words is "two billion, four hundred thirty million, six hundred twenty-four thousand, four hundred twenty".