2011324000 has 192 divisors, whose sum is σ = 5844908160. Its totient is φ = 665548800.

The previous prime is 2011323973. The next prime is 2011324027. The reversal of 2011324000 is 4231102.

It is an interprime number because it is at equal distance from previous prime (2011323973) and next prime (2011324027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810762 + ... + 813238.

It is an arithmetic number, because the mean of its divisors is an integer number (30442230).

Almost surely, 2^2011324000 is an apocalyptic number.

2011324000 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 2011324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922454080).

2011324000 is an abundant number, since it is smaller than the sum of its proper divisors (3833584160).

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

2011324000 is a wasteful number, since it uses less digits than its factorization.

2011324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2520 counting only the distinct ones).

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

The square root of 2011324000 is about 44847.7870134079. The cubic root of 2011324000 is about 1262.2944670806.

Adding to 2011324000 its reverse (4231102), we get a palindrome (2015555102).

The spelling of 2011324000 in words is "two billion, eleven million, three hundred twenty-four thousand".