2009995200 has 252 divisors, whose sum is σ = 7222662720. Its totient is φ = 530104320.

The previous prime is 2009995181. The next prime is 2009995241. The reversal of 2009995200 is 25999002.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1396081 + ... + 1397519.

It is an arithmetic number, because the mean of its divisors is an integer number (28661360).

Almost surely, 2^2009995200 is an apocalyptic number.

2009995200 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 2009995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611331360).

2009995200 is an abundant number, since it is smaller than the sum of its proper divisors (5212667520).

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

2009995200 is a wasteful number, since it uses less digits than its factorization.

2009995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2009995200 is about 44832.9700109194. The cubic root of 2009995200 is about 1262.0164236282.

The spelling of 2009995200 in words is "two billion, nine million, nine hundred ninety-five thousand, two hundred".