2434412120 has 96 divisors (see below), whose sum is σ = 6387465600. Its totient is φ = 832591872.

The previous prime is 2434412117. The next prime is 2434412131. The reversal of 2434412120 is 212144342.

It is a congruent number.

It is an unprimeable number.

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, 937544 + ... + 940136.

It is an arithmetic number, because the mean of its divisors is an integer number (66536100).

Almost surely, 2^2434412120 is an apocalyptic number.

2434412120 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 2434412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193732800).

2434412120 is an abundant number, since it is smaller than the sum of its proper divisors (3953053480).

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

2434412120 is a wasteful number, since it uses less digits than its factorization.

2434412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2434412120 is about 49339.7620586075. The cubic root of 2434412120 is about 1345.2346149415.

Adding to 2434412120 its reverse (212144342), we get a palindrome (2646556462).

The spelling of 2434412120 in words is "two billion, four hundred thirty-four million, four hundred twelve thousand, one hundred twenty".