2112221440 has 288 divisors, whose sum is σ = 6269356800. Its totient is φ = 679182336.

The previous prime is 2112221437. The next prime is 2112221443. The reversal of 2112221440 is 441222112.

It is an interprime number because it is at equal distance from previous prime (2112221437) and next prime (2112221443).

It is a super-2 number, since 2×2112221440² = 8922958823191347200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112221443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7463539 + ... + 7463821.

It is an arithmetic number, because the mean of its divisors is an integer number (21768600).

Almost surely, 2^2112221440 is an apocalyptic number.

2112221440 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 2112221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134678400).

2112221440 is an abundant number, since it is smaller than the sum of its proper divisors (4157135360).

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

2112221440 is an equidigital number, since it uses as much as digits as its factorization.

2112221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2112221440 is about 45958.9103439148. The cubic root of 2112221440 is about 1283.0585711132.

Adding to 2112221440 its reverse (441222112), we get a palindrome (2553443552).

The spelling of 2112221440 in words is "two billion, one hundred twelve million, two hundred twenty-one thousand, four hundred forty".