2011200000 has 240 divisors, whose sum is σ = 6713007840. Its totient is φ = 535040000.

The previous prime is 2011199969. The next prime is 2011200047. The reversal of 2011200000 is 21102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799791 + ... + 4800209.

It is an arithmetic number, because the mean of its divisors is an integer number (27970866).

Almost surely, 2^2011200000 is an apocalyptic number.

2011200000 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 2011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356503920).

2011200000 is an abundant number, since it is smaller than the sum of its proper divisors (4701807840).

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

2011200000 is an frugal number, since it uses more digits than its factorization.

2011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2011200000 is about 44846.4045381567. The cubic root of 2011200000 is about 1262.2685260038.

Adding to 2011200000 its reverse (21102), we get a palindrome (2011221102).

The spelling of 2011200000 in words is "two billion, eleven million, two hundred thousand".