2112034440 has 128 divisors (see below), whose sum is σ = 6865119360. Its totient is φ = 517730304.

The previous prime is 2112034429. The next prime is 2112034541. The reversal of 2112034440 is 444302112.

2112034440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112034440² = 8921378951492227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75682 + ... + 99758.

It is an arithmetic number, because the mean of its divisors is an integer number (53633745).

Almost surely, 2^2112034440 is an apocalyptic number.

2112034440 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 2112034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432559680).

2112034440 is an abundant number, since it is smaller than the sum of its proper divisors (4753084920).

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

2112034440 is a wasteful number, since it uses less digits than its factorization.

2112034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24151 (or 24147 counting only the distinct ones).

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

The square root of 2112034440 is about 45956.8758729311. The cubic root of 2112034440 is about 1283.0207059176.

Adding to 2112034440 its reverse (444302112), we get a palindrome (2556336552).

The spelling of 2112034440 in words is "two billion, one hundred twelve million, thirty-four thousand, four hundred forty".