2071127200 has 72 divisors (see below), whose sum is σ = 5120297280. Its totient is φ = 817939200.

The previous prime is 2071127189. The next prime is 2071127237. The reversal of 2071127200 is 27211702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46815 + ... + 79585.

It is an arithmetic number, because the mean of its divisors is an integer number (71115240).

Almost surely, 2^2071127200 is an apocalyptic number.

2071127200 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 2071127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560148640).

2071127200 is an abundant number, since it is smaller than the sum of its proper divisors (3049170080).

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

2071127200 is a wasteful number, since it uses less digits than its factorization.

2071127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32870 (or 32857 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 2071127200 is about 45509.6385395446. The cubic root of 2071127200 is about 1274.6831866952.

Adding to 2071127200 its reverse (27211702), we get a palindrome (2098338902).

The spelling of 2071127200 in words is "two billion, seventy-one million, one hundred twenty-seven thousand, two hundred".