2430213120 has 264 divisors, whose sum is σ = 8790571296. Its totient is φ = 619610112.

The previous prime is 2430213119. The next prime is 2430213133. The reversal of 2430213120 is 213120342.

2430213120 is a `hidden beast` number, since 2 + 430 + 213 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2430213093 and 2430213102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058694 + ... + 1060986.

Almost surely, 2^2430213120 is an apocalyptic number.

2430213120 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 2430213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395285648).

2430213120 is an abundant number, since it is smaller than the sum of its proper divisors (6360358176).

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

2430213120 is a wasteful number, since it uses less digits than its factorization.

2430213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2430213120 is about 49297.1918064305. The cubic root of 2430213120 is about 1344.4607263976.

Adding to 2430213120 its reverse (213120342), we get a palindrome (2643333462).

The spelling of 2430213120 in words is "two billion, four hundred thirty million, two hundred thirteen thousand, one hundred twenty".