2431424100 has 144 divisors (see below), whose sum is σ = 8204336000. Its totient is φ = 555730560.

The previous prime is 2431424063. The next prime is 2431424101. The reversal of 2431424100 is 14241342.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431424101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91086 + ... + 114714.

Almost surely, 2^2431424100 is an apocalyptic number.

2431424100 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 2431424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102168000).

2431424100 is an abundant number, since it is smaller than the sum of its proper divisors (5772911900).

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

2431424100 is a wasteful number, since it uses less digits than its factorization.

2431424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23667 (or 23646 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2431424100 is about 49309.4727207663. The cubic root of 2431424100 is about 1344.6840051272.

Adding to 2431424100 its reverse (14241342), we get a palindrome (2445665442).

The spelling of 2431424100 in words is "two billion, four hundred thirty-one million, four hundred twenty-four thousand, one hundred".