2011440200 has 288 divisors, whose sum is σ = 6076218240. Its totient is φ = 612057600.

The previous prime is 2011440181. The next prime is 2011440217. The reversal of 2011440200 is 20441102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5066402 + ... + 5066798.

It is an arithmetic number, because the mean of its divisors is an integer number (21097980).

Almost surely, 2^2011440200 is an apocalyptic number.

2011440200 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 2011440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038109120).

2011440200 is an abundant number, since it is smaller than the sum of its proper divisors (4064778040).

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

2011440200 is a wasteful number, since it uses less digits than its factorization.

2011440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

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

The square root of 2011440200 is about 44849.0824878280. The cubic root of 2011440200 is about 1262.3187754122.

Adding to 2011440200 its reverse (20441102), we get a palindrome (2031881302).

The spelling of 2011440200 in words is "two billion, eleven million, four hundred forty thousand, two hundred".