2412381312 has 512 divisors, whose sum is σ = 8460288000. Its totient is φ = 669081600.

The previous prime is 2412381253. The next prime is 2412381353. The reversal of 2412381312 is 2131832142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 27105364 + ... + 27105452.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2^2412381312 is an apocalyptic number.

2412381312 is a gapful number since it is divisible by the number (22) 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 2412381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230144000).

2412381312 is an abundant number, since it is smaller than the sum of its proper divisors (6047906688).

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

2412381312 is a wasteful number, since it uses less digits than its factorization.

2412381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2412381312 is about 49115.9985340826. The cubic root of 2412381312 is about 1341.1643017961.

The spelling of 2412381312 in words is "two billion, four hundred twelve million, three hundred eighty-one thousand, three hundred twelve".