2011234000 has 40 divisors (see below), whose sum is σ = 4863168648. Its totient is φ = 804492800.

The previous prime is 2011233979. The next prime is 2011234009. The reversal of 2011234000 is 4321102.

It can be written as a sum of positive squares in 4 ways, for example, as 176996416 + 1834237584 = 13304^2 + 42828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011234009) 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 7 ways as a sum of consecutive naturals, for example, 500809 + ... + 504808.

Almost surely, 2^2011234000 is an apocalyptic number.

2011234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011234000 is an abundant number, since it is smaller than the sum of its proper divisors (2851934648).

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

2011234000 is a wasteful number, since it uses less digits than its factorization.

2011234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005640 (or 1005624 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2011234000 is about 44846.7836081920. The cubic root of 2011234000 is about 1262.2756389858.

Adding to 2011234000 its reverse (4321102), we get a palindrome (2015555102).

The spelling of 2011234000 in words is "two billion, eleven million, two hundred thirty-four thousand".