2112445440 has 704 divisors, whose sum is σ = 8960947200. Its totient is φ = 461832192.

The previous prime is 2112445421. The next prime is 2112445453. The reversal of 2112445440 is 445442112.

2112445440 is a `hidden beast` number, since 2 + 112 + 4 + 4 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35804131 + ... + 35804189.

Almost surely, 2^2112445440 is an apocalyptic number.

2112445440 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 2112445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480473600).

2112445440 is an abundant number, since it is smaller than the sum of its proper divisors (6848501760).

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

2112445440 is a wasteful number, since it uses less digits than its factorization.

2112445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2112445440 is about 45961.3472387396. The cubic root of 2112445440 is about 1283.1039254110.

Adding to 2112445440 its reverse (445442112), we get a palindrome (2557887552).

It can be divided in two parts, 21124 and 45440, that added together give a square (66564 = 258²).

The spelling of 2112445440 in words is "two billion, one hundred twelve million, four hundred forty-five thousand, four hundred forty".