2127661700 has 72 divisors (see below), whose sum is σ = 4708630920. Its totient is φ = 834278400.

The previous prime is 2127661699. The next prime is 2127661747. The reversal of 2127661700 is 71667212.

It can be written as a sum of positive squares in 12 ways, for example, as 2054627584 + 73034116 = 45328^2 + 8546^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3470594 + ... + 3471206.

Almost surely, 2^2127661700 is an apocalyptic number.

2127661700 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 2127661700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354315460).

2127661700 is an abundant number, since it is smaller than the sum of its proper divisors (2580969220).

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

2127661700 is a wasteful number, since it uses less digits than its factorization.

2127661700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 2127661700 is about 46126.5834416554. The cubic root of 2127661700 is about 1286.1773541281.

The spelling of 2127661700 in words is "two billion, one hundred twenty-seven million, six hundred sixty-one thousand, seven hundred".