2404142100 has 144 divisors (see below), whose sum is σ = 7745337600. Its totient is φ = 639740160.

The previous prime is 2404142071. The next prime is 2404142107. The reversal of 2404142100 is 12414042.

2404142100 is a `hidden beast` number, since 2 + 40 + 414 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404142107) 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 47 ways as a sum of consecutive naturals, for example, 2313381 + ... + 2314419.

Almost surely, 2^2404142100 is an apocalyptic number.

2404142100 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 2404142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872668800).

2404142100 is an abundant number, since it is smaller than the sum of its proper divisors (5341195500).

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

2404142100 is a wasteful number, since it uses less digits than its factorization.

2404142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2404142100 is about 49032.0517620872. The cubic root of 2404142100 is about 1339.6356958721.

Adding to 2404142100 its reverse (12414042), we get a palindrome (2416556142).

The spelling of 2404142100 in words is "two billion, four hundred four million, one hundred forty-two thousand, one hundred".