2430414112 has 144 divisors (see below), whose sum is σ = 5979015000. Its totient is φ = 966131712.

The previous prime is 2430414073. The next prime is 2430414131. The reversal of 2430414112 is 2114140342.

2430414112 = 5734² + 5735² + ... + 5806².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2273763856 + 156650256 = 47684^2 + 12516^2 .

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, 1945264 + ... + 1946512.

Almost surely, 2^2430414112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989507500).

2430414112 is an abundant number, since it is smaller than the sum of its proper divisors (3548600888).

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

2430414112 is a wasteful number, since it uses less digits than its factorization.

2430414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2430414112 is about 49299.2303388197. The cubic root of 2430414112 is about 1344.4977901430.

Adding to 2430414112 its reverse (2114140342), we get a palindrome (4544554454).

It can be divided in two parts, 24304 and 14112, that added together give a 4-th power (38416 = 14⁴).

The spelling of 2430414112 in words is "two billion, four hundred thirty million, four hundred fourteen thousand, one hundred twelve".