2112144240 has 80 divisors (see below), whose sum is σ = 6773450400. Its totient is φ = 543814656.

The previous prime is 2112144227. The next prime is 2112144241. The reversal of 2112144240 is 424412112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2112144240² = 8922306581130355200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112144241) 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 15 ways as a sum of consecutive naturals, for example, 144775 + ... + 158694.

It is an arithmetic number, because the mean of its divisors is an integer number (84668130).

Almost surely, 2^2112144240 is an apocalyptic number.

2112144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112144240 is an abundant number, since it is smaller than the sum of its proper divisors (4661306160).

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

2112144240 is a wasteful number, since it uses less digits than its factorization.

2112144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303514 (or 303508 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2112144240 is about 45958.0704555794. The cubic root of 2112144240 is about 1283.0429393354.

Adding to 2112144240 its reverse (424412112), we get a palindrome (2536556352).

The spelling of 2112144240 in words is "two billion, one hundred twelve million, one hundred forty-four thousand, two hundred forty".