2011224000 has 224 divisors, whose sum is σ = 6786164736. Its totient is φ = 524620800.

The previous prime is 2011223999. The next prime is 2011224001. The reversal of 2011224000 is 4221102.

It is an interprime number because it is at equal distance from previous prime (2011223999) and next prime (2011224001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011224001) by changing a digit.

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, 1127109 + ... + 1128891.

Almost surely, 2^2011224000 is an apocalyptic number.

2011224000 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 2011224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393082368).

2011224000 is an abundant number, since it is smaller than the sum of its proper divisors (4774940736).

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

2011224000 is a wasteful number, since it uses less digits than its factorization.

2011224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2011224000 is about 44846.6721173378. The cubic root of 2011224000 is about 1262.2735469406.

Adding to 2011224000 its reverse (4221102), we get a palindrome (2015445102).

The spelling of 2011224000 in words is "two billion, eleven million, two hundred twenty-four thousand".