2430142200 has 144 divisors (see below), whose sum is σ = 8207417400. Its totient is φ = 644371200.

The previous prime is 2430142189. The next prime is 2430142213. The reversal of 2430142200 is 22410342.

2430142200 is a `hidden beast` number, since 2 + 430 + 14 + 220 + 0 = 666.

It is a super-2 number, since 2×2430142200² = 11811182224441680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 322071 + ... + 329529.

Almost surely, 2^2430142200 is an apocalyptic number.

2430142200 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 2430142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103708700).

2430142200 is an abundant number, since it is smaller than the sum of its proper divisors (5777275200).

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

2430142200 is a wasteful number, since it uses less digits than its factorization.

2430142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662 (or 7650 counting only the distinct ones).

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

The square root of 2430142200 is about 49296.4724904328. The cubic root of 2430142200 is about 1344.4476479723.

Adding to 2430142200 its reverse (22410342), we get a palindrome (2452552542).

It can be divided in two parts, 2430142 and 200, that added together give a palindrome (2430342).

The spelling of 2430142200 in words is "two billion, four hundred thirty million, one hundred forty-two thousand, two hundred".