2011440000 has 480 divisors, whose sum is σ = 7336870200. Its totient is φ = 487424000.

The previous prime is 2011439987. The next prime is 2011440037. The reversal of 2011440000 is 441102.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69359986 + ... + 69360014.

Almost surely, 2^2011440000 is an apocalyptic number.

2011440000 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 2011440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668435100).

2011440000 is an abundant number, since it is smaller than the sum of its proper divisors (5325430200).

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

2011440000 is an equidigital number, since it uses as much as digits as its factorization.

2011440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 56 counting only the distinct ones).

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

The square root of 2011440000 is about 44849.0802581279. The cubic root of 2011440000 is about 1262.3187335742.

Adding to 2011440000 its reverse (441102), we get a palindrome (2011881102).

The spelling of 2011440000 in words is "two billion, eleven million, four hundred forty thousand".