11000002000 has 160 divisors (see below), whose sum is σ = 29313123840. Its totient is φ = 3966681600.

The previous prime is 11000001983. The next prime is 11000002001. The reversal of 11000002000 is 20000011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113081 + ... + 1122919.

It is an arithmetic number, because the mean of its divisors is an integer number (183207024).

Almost surely, 2^11000002000 is an apocalyptic number.

11000002000 is a gapful number since it is divisible by the number (10) 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 11000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656561920).

11000002000 is an abundant number, since it is smaller than the sum of its proper divisors (18313121840).

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

11000002000 is a wasteful number, since it uses less digits than its factorization.

11000002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 11000002000 its reverse (20000011), we get a palindrome (11020002011).

The spelling of 11000002000 in words is "eleven billion, two thousand".