2430122200 has 72 divisors (see below), whose sum is σ = 6169543740. Its totient is φ = 882840000.

The previous prime is 2430122179. The next prime is 2430122203. The reversal of 2430122200 is 22210342.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430122203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2311675 + ... + 2312725.

Almost surely, 2^2430122200 is an apocalyptic number.

2430122200 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 2430122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084771870).

2430122200 is an abundant number, since it is smaller than the sum of its proper divisors (3739421540).

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

2430122200 is a wasteful number, since it uses less digits than its factorization.

2430122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2430122200 is about 49296.2696357442. The cubic root of 2430122200 is about 1344.4439597071.

Adding to 2430122200 its reverse (22210342), we get a palindrome (2452332542).

The spelling of 2430122200 in words is "two billion, four hundred thirty million, one hundred twenty-two thousand, two hundred".