2412442340 has 144 divisors (see below), whose sum is σ = 6486552576. Its totient is φ = 737468160.

The previous prime is 2412442313. The next prime is 2412442363. The reversal of 2412442340 is 432442142.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896477 + ... + 899163.

It is an arithmetic number, because the mean of its divisors is an integer number (45045504).

Almost surely, 2^2412442340 is an apocalyptic number.

2412442340 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 2412442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243276288).

2412442340 is an abundant number, since it is smaller than the sum of its proper divisors (4074110236).

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

2412442340 is a wasteful number, since it uses less digits than its factorization.

2412442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2412442340 is about 49116.6197941186. The cubic root of 2412442340 is about 1341.1756112139.

Adding to 2412442340 its reverse (432442142), we get a palindrome (2844884482).

The spelling of 2412442340 in words is "two billion, four hundred twelve million, four hundred forty-two thousand, three hundred forty".