2211133002 has 64 divisors (see below), whose sum is σ = 4855105920. Its totient is φ = 667180800.

The previous prime is 2211132949. The next prime is 2211133013. The reversal of 2211133002 is 2003311122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2573649 + ... + 2574507.

It is an arithmetic number, because the mean of its divisors is an integer number (75861030).

Almost surely, 2^2211133002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427552960).

2211133002 is an abundant number, since it is smaller than the sum of its proper divisors (2643972918).

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

2211133002 is a wasteful number, since it uses less digits than its factorization.

2211133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2211133002 is about 47022.6860355722. The cubic root of 2211133002 is about 1302.7816182676.

Adding to 2211133002 its reverse (2003311122), we get a palindrome (4214444124).

It can be divided in two parts, 221113 and 3002, that added together give a triangular number (224115 = T₆₆₉).

The spelling of 2211133002 in words is "two billion, two hundred eleven million, one hundred thirty-three thousand, two".