2430122400 has 108 divisors (see below), whose sum is σ = 8569244502. Its totient is φ = 648030720.

The previous prime is 2430122393. The next prime is 2430122407. The reversal of 2430122400 is 42210342.

2430122400 is a `hidden beast` number, since 243 + 0 + 1 + 22 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2430122393) and next prime (2430122407).

It can be written as a sum of positive squares in 3 ways, for example, as 2113424784 + 316697616 = 45972^2 + 17796^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2430122407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161559 + ... + 175958.

Almost surely, 2^2430122400 is an apocalyptic number.

2430122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430122400 is an abundant number, since it is smaller than the sum of its proper divisors (6139122102).

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

2430122400 is a wasteful number, since it uses less digits than its factorization.

2430122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337543 (or 337527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2430122400 is about 49296.2716642953. The cubic root of 2430122400 is about 1344.4439965898.

Adding to 2430122400 its reverse (42210342), we get a palindrome (2472332742).

The spelling of 2430122400 in words is "two billion, four hundred thirty million, one hundred twenty-two thousand, four hundred".