2112756080 has 80 divisors (see below), whose sum is σ = 5136796224. Its totient is φ = 806615040.

The previous prime is 2112756071. The next prime is 2112756089. The reversal of 2112756080 is 806572112.

It is an interprime number because it is at equal distance from previous prime (2112756071) and next prime (2112756089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112756089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134350 + ... + 1136210.

Almost surely, 2^2112756080 is an apocalyptic number.

2112756080 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 2112756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568398112).

2112756080 is an abundant number, since it is smaller than the sum of its proper divisors (3024040144).

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

2112756080 is a wasteful number, since it uses less digits than its factorization.

2112756080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 2112756080 is about 45964.7264758532. The cubic root of 2112756080 is about 1283.1668167975.

The spelling of 2112756080 in words is "two billion, one hundred twelve million, seven hundred fifty-six thousand, eighty".