2011001000 has 64 divisors (see below), whose sum is σ = 4857615360. Its totient is φ = 778440000.

The previous prime is 2011000963. The next prime is 2011001033. The reversal of 2011001000 is 1001102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436 + ... + 63435.

It is an arithmetic number, because the mean of its divisors is an integer number (75900240).

Almost surely, 2^2011001000 is an apocalyptic number.

2011001000 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 2011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428807680).

2011001000 is an abundant number, since it is smaller than the sum of its proper divisors (2846614360).

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

2011001000 is a wasteful number, since it uses less digits than its factorization.

2011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64923 (or 64909 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2011001000 is about 44844.1857992761. The cubic root of 2011001000 is about 1262.2268925310.

Adding to 2011001000 its reverse (1001102), we get a palindrome (2012002102).

The spelling of 2011001000 in words is "two billion, eleven million, one thousand".