2213101296 has 120 divisors (see below), whose sum is σ = 7243167360. Its totient is φ = 617597568.

The previous prime is 2213101291. The next prime is 2213101333. The reversal of 2213101296 is 6921013122.

2213101296 is a `hidden beast` number, since 221 + 310 + 129 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213101291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17815 + ... + 68873.

It is an arithmetic number, because the mean of its divisors is an integer number (60359728).

Almost surely, 2^2213101296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621583680).

2213101296 is an abundant number, since it is smaller than the sum of its proper divisors (5030066064).

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

2213101296 is a wasteful number, since it uses less digits than its factorization.

2213101296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51123 (or 51114 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2213101296 is about 47043.6105757201. The cubic root of 2213101296 is about 1303.1680712365.

The spelling of 2213101296 in words is "two billion, two hundred thirteen million, one hundred one thousand, two hundred ninety-six".