2127910720 has 112 divisors (see below), whose sum is σ = 5495086800. Its totient is φ = 780189696.

The previous prime is 2127910717. The next prime is 2127910739. The reversal of 2127910720 is 270197212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 620607744 + 1507302976 = 24912^2 + 38824^2 .

It is a super-4 number, since 4×2127910720⁴ (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

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, 618124 + ... + 621556.

It is an arithmetic number, because the mean of its divisors is an integer number (49063275).

Almost surely, 2^2127910720 is an apocalyptic number.

2127910720 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 2127910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747543400).

2127910720 is an abundant number, since it is smaller than the sum of its proper divisors (3367176080).

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

2127910720 is a wasteful number, since it uses less digits than its factorization.

2127910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 2127910720 is about 46129.2826738071. The cubic root of 2127910720 is about 1286.2275299291.

The spelling of 2127910720 in words is "two billion, one hundred twenty-seven million, nine hundred ten thousand, seven hundred twenty".