2002011011 has 48 divisors (see below), whose sum is σ = 2820718080. Its totient is φ = 1377192960.

The previous prime is 2002011007. The next prime is 2002011041. The reversal of 2002011011 is 1101102002.

It is not a de Polignac number, because 2002011011 - 2² = 2002011007 is a prime.

It is a Duffinian number.

2002011011 is a modest number, since divided by 11011 gives 2002 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2002011011.

It is not an unprimeable number, because it can be changed into a prime (2002011041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295955 + ... + 302643.

It is an arithmetic number, because the mean of its divisors is an integer number (58764960).

Almost surely, 2^2002011011 is an apocalyptic number.

2002011011 is a deficient number, since it is larger than the sum of its proper divisors (818707069).

2002011011 is a wasteful number, since it uses less digits than its factorization.

2002011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2002011011 is about 44743.8376874403. The cubic root of 2002011011 is about 1260.3431942854.

Adding to 2002011011 its reverse (1101102002), we get a palindrome (3103113013).

Subtracting from 2002011011 its reverse (1101102002), we obtain a palindrome (900909009).

The spelling of 2002011011 in words is "two billion, two million, eleven thousand, eleven".