2412312240 has 160 divisors (see below), whose sum is σ = 8527329216. Its totient is φ = 558858240.

The previous prime is 2412312239. The next prime is 2412312247. The reversal of 2412312240 is 422132142.

It is not an unprimeable number, because it can be changed into a prime (2412312247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30300 + ... + 75780.

Almost surely, 2^2412312240 is an apocalyptic number.

2412312240 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 2412312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263664608).

2412312240 is an abundant number, since it is smaller than the sum of its proper divisors (6115016976).

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

2412312240 is a wasteful number, since it uses less digits than its factorization.

2412312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45527 (or 45521 counting only the distinct ones).

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

The square root of 2412312240 is about 49115.2953773058. The cubic root of 2412312240 is about 1341.1515014724.

Adding to 2412312240 its reverse (422132142), we get a palindrome (2834444382).

It can be divided in two parts, 24123 and 12240, that added together give a palindrome (36363).

The spelling of 2412312240 in words is "two billion, four hundred twelve million, three hundred twelve thousand, two hundred forty".