2009905092 has 144 divisors (see below), whose sum is σ = 5637602880. Its totient is φ = 599940864.

The previous prime is 2009905091. The next prime is 2009905099. The reversal of 2009905092 is 2905099002.

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

It is not an unprimeable number, because it can be changed into a prime (2009905091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2291358 + ... + 2292234.

It is an arithmetic number, because the mean of its divisors is an integer number (39150020).

Almost surely, 2^2009905092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009905092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818801440).

2009905092 is an abundant number, since it is smaller than the sum of its proper divisors (3627697788).

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

2009905092 is a wasteful number, since it uses less digits than its factorization.

2009905092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

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

The square root of 2009905092 is about 44831.9650695795. The cubic root of 2009905092 is about 1261.9975646321.

The spelling of 2009905092 in words is "two billion, nine million, nine hundred five thousand, ninety-two".