2211300000 has 864 divisors, whose sum is σ = 10032107904. Its totient is φ = 466560000.

The previous prime is 2211299989. The next prime is 2211300001. The reversal of 2211300000 is 31122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 not an unprimeable number, because it can be changed into a prime (2211300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 170099994 + ... + 170100006.

It is an arithmetic number, because the mean of its divisors is an integer number (11611236).

Almost surely, 2^2211300000 is an apocalyptic number.

2211300000 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 2211300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016053952).

2211300000 is an abundant number, since it is smaller than the sum of its proper divisors (7820807904).

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

2211300000 is an frugal number, since it uses more digits than its factorization.

2211300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2211300000 is about 47024.4617194073. The cubic root of 2211300000 is about 1302.8144153973.

Adding to 2211300000 its reverse (31122), we get a palindrome (2211331122).

The spelling of 2211300000 in words is "two billion, two hundred eleven million, three hundred thousand".