2011332000 has 96 divisors (see below), whose sum is σ = 6589162944. Its totient is φ = 536352000.

The previous prime is 2011331953. The next prime is 2011332019. The reversal of 2011332000 is 2331102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 71806 + ... + 95805.

It is an arithmetic number, because the mean of its divisors is an integer number (68637114).

Almost surely, 2^2011332000 is an apocalyptic number.

2011332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011332000 is an abundant number, since it is smaller than the sum of its proper divisors (4577830944).

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

2011332000 is a wasteful number, since it uses less digits than its factorization.

2011332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167639 (or 167621 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2011332000 is about 44847.8762038962. The cubic root of 2011332000 is about 1262.2961406618.

Adding to 2011332000 its reverse (2331102), we get a palindrome (2013663102).

The spelling of 2011332000 in words is "two billion, eleven million, three hundred thirty-two thousand".