2127801600 has 648 divisors, whose sum is σ = 8407008792. Its totient is φ = 511180800.

The previous prime is 2127801569. The next prime is 2127801607. The reversal of 2127801600 is 61087212.

It can be written as a sum of positive squares in 12 ways, for example, as 589906944 + 1537894656 = 24288^2 + 39216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127801607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40147174 + ... + 40147226.

It is an arithmetic number, because the mean of its divisors is an integer number (12973779).

Almost surely, 2^2127801600 is an apocalyptic number.

2127801600 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 2127801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203504396).

2127801600 is an abundant number, since it is smaller than the sum of its proper divisors (6279207192).

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

2127801600 is a wasteful number, since it uses less digits than its factorization.

2127801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2127801600 is about 46128.0998958336. The cubic root of 2127801600 is about 1286.2055434886.

Adding to 2127801600 its reverse (61087212), we get a palindrome (2188888812).

The spelling of 2127801600 in words is "two billion, one hundred twenty-seven million, eight hundred one thousand, six hundred".