2424204200 has 96 divisors (see below), whose sum is σ = 6160453920. Its totient is φ = 879840000.

The previous prime is 2424204169. The next prime is 2424204217. The reversal of 2424204200 is 24024242.

2424204200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2069615 + ... + 2070785.

It is an arithmetic number, because the mean of its divisors is an integer number (64171395).

Almost surely, 2^2424204200 is an apocalyptic number.

2424204200 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 2424204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080226960).

2424204200 is an abundant number, since it is smaller than the sum of its proper divisors (3736249720).

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

2424204200 is a wasteful number, since it uses less digits than its factorization.

2424204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2130 counting only the distinct ones).

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

The square root of 2424204200 is about 49236.2082211862. The cubic root of 2424204200 is about 1343.3517119210.

Adding to 2424204200 its reverse (24024242), we get a palindrome (2448228442).

The spelling of 2424204200 in words is "two billion, four hundred twenty-four million, two hundred four thousand, two hundred".