2112751680 has 448 divisors, whose sum is σ = 7690518528. Its totient is φ = 487710720.

The previous prime is 2112751679. The next prime is 2112751681. The reversal of 2112751680 is 861572112.

It is an interprime number because it is at equal distance from previous prime (2112751679) and next prime (2112751681).

It is a super-2 number, since 2×2112751680² = 8927439322685644800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112751681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16635777 + ... + 16635903.

It is an arithmetic number, because the mean of its divisors is an integer number (17166336).

Almost surely, 2^2112751680 is an apocalyptic number.

2112751680 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 2112751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845259264).

2112751680 is an abundant number, since it is smaller than the sum of its proper divisors (5577766848).

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

2112751680 is a wasteful number, since it uses less digits than its factorization.

2112751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 2112751680 is about 45964.6786130394. The cubic root of 2112751680 is about 1283.1659260277.

The spelling of 2112751680 in words is "two billion, one hundred twelve million, seven hundred fifty-one thousand, six hundred eighty".