2424420200 has 96 divisors (see below), whose sum is σ = 5800878720. Its totient is φ = 941760000.

The previous prime is 2424420169. The next prime is 2424420203. The reversal of 2424420200 is 20244242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2424420203) 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 23 ways as a sum of consecutive naturals, for example, 2221655 + ... + 2222745.

It is an arithmetic number, because the mean of its divisors is an integer number (60425820).

Almost surely, 2^2424420200 is an apocalyptic number.

2424420200 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 2424420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900439360).

2424420200 is an abundant number, since it is smaller than the sum of its proper divisors (3376458520).

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

2424420200 is a wasteful number, since it uses less digits than its factorization.

2424420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2424420200 is about 49238.4016799896. The cubic root of 2424420200 is about 1343.3916089110.

Adding to 2424420200 its reverse (20244242), we get a palindrome (2444664442).

It can be divided in two parts, 24244 and 20200, that added together give a palindrome (44444).

The spelling of 2424420200 in words is "two billion, four hundred twenty-four million, four hundred twenty thousand, two hundred".