2412242200 has 96 divisors (see below), whose sum is σ = 5977519200. Its totient is φ = 902154240.

The previous prime is 2412242171. The next prime is 2412242207. The reversal of 2412242200 is 22422142.

It is a super-3 number, since 3×2412242200³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412242207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531541 + ... + 536059.

It is an arithmetic number, because the mean of its divisors is an integer number (62265825).

Almost surely, 2^2412242200 is an apocalyptic number.

2412242200 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 2412242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988759600).

2412242200 is an abundant number, since it is smaller than the sum of its proper divisors (3565277000).

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

2412242200 is a wasteful number, since it uses less digits than its factorization.

2412242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2412242200 is about 49114.5823559562. The cubic root of 2412242200 is about 1341.1385215109.

Adding to 2412242200 its reverse (22422142), we get a palindrome (2434664342).

The spelling of 2412242200 in words is "two billion, four hundred twelve million, two hundred forty-two thousand, two hundred".