2071007200 has 72 divisors (see below), whose sum is σ = 5080221720. Its totient is φ = 824409600.

The previous prime is 2071007177. The next prime is 2071007227. The reversal of 2071007200 is 27001702.

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 11 ways as a sum of consecutive naturals, for example, 162666 + ... + 174934.

It is an arithmetic number, because the mean of its divisors is an integer number (70558635).

Almost surely, 2^2071007200 is an apocalyptic number.

2071007200 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 2071007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540110860).

2071007200 is an abundant number, since it is smaller than the sum of its proper divisors (3009214520).

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

2071007200 is a wasteful number, since it uses less digits than its factorization.

2071007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 2071007200 is about 45508.3201184135. The cubic root of 2071007200 is about 1274.6585680661.

Adding to 2071007200 its reverse (27001702), we get a palindrome (2098008902).

The spelling of 2071007200 in words is "two billion, seventy-one million, seven thousand, two hundred".