2011424000 has 144 divisors (see below), whose sum is σ = 5050805760. Its totient is φ = 798156800.

The previous prime is 2011423957. The next prime is 2011424033. The reversal of 2011424000 is 4241102.

It is a congruent number.

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, 7647869 + ... + 7648131.

It is an arithmetic number, because the mean of its divisors is an integer number (35075040).

Almost surely, 2^2011424000 is an apocalyptic number.

2011424000 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 2011424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525402880).

2011424000 is an abundant number, since it is smaller than the sum of its proper divisors (3039381760).

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

2011424000 is an equidigital number, since it uses as much as digits as its factorization.

2011424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2011424000 is about 44848.9018817629. The cubic root of 2011424000 is about 1262.3153865271.

Adding to 2011424000 its reverse (4241102), we get a palindrome (2015665102).

The spelling of 2011424000 in words is "two billion, eleven million, four hundred twenty-four thousand".