2127068560 has 80 divisors (see below), whose sum is σ = 5265881712. Its totient is φ = 796262400.

The previous prime is 2127068533. The next prime is 2127068591. The reversal of 2127068560 is 658607212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 623800576 + 1503267984 = 24976^2 + 38772^2 .

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

It is an unprimeable number.

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, 241840 + ... + 250480.

Almost surely, 2^2127068560 is an apocalyptic number.

2127068560 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 2127068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632940856).

2127068560 is an abundant number, since it is smaller than the sum of its proper divisors (3138813152).

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

2127068560 is a wasteful number, since it uses less digits than its factorization.

2127068560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2127068560 is about 46120.1535123204. The cubic root of 2127068560 is about 1286.0578247659.

The spelling of 2127068560 in words is "two billion, one hundred twenty-seven million, sixty-eight thousand, five hundred sixty".