2421413120 has 144 divisors (see below), whose sum is σ = 6755011200. Its totient is φ = 814374912.

The previous prime is 2421413107. The next prime is 2421413147. The reversal of 2421413120 is 213141242.

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

It is a junction number, because it is equal to n+sod(n) for n = 2421413092 and 2421413101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472331 + ... + 477429.

It is an arithmetic number, because the mean of its divisors is an integer number (46909800).

Almost surely, 2^2421413120 is an apocalyptic number.

2421413120 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 2421413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377505600).

2421413120 is an abundant number, since it is smaller than the sum of its proper divisors (4333598080).

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

2421413120 is an equidigital number, since it uses as much as digits as its factorization.

2421413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2421413120 is about 49207.8562833213. The cubic root of 2421413120 is about 1342.8359630193.

Adding to 2421413120 its reverse (213141242), we get a palindrome (2634554362).

The spelling of 2421413120 in words is "two billion, four hundred twenty-one million, four hundred thirteen thousand, one hundred twenty".