2213075120 has 80 divisors (see below), whose sum is σ = 5398821120. Its totient is φ = 842572800.

The previous prime is 2213075119. The next prime is 2213075131. The reversal of 2213075120 is 215703122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143966 + ... + 158594.

It is an arithmetic number, because the mean of its divisors is an integer number (67485264).

Almost surely, 2^2213075120 is an apocalyptic number.

2213075120 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 2213075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699410560).

2213075120 is an abundant number, since it is smaller than the sum of its proper divisors (3185746000).

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

2213075120 is a wasteful number, since it uses less digits than its factorization.

2213075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14734 (or 14728 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2213075120 is about 47043.3323649590. The cubic root of 2213075120 is about 1303.1629333693.

Adding to 2213075120 its reverse (215703122), we get a palindrome (2428778242).

The spelling of 2213075120 in words is "two billion, two hundred thirteen million, seventy-five thousand, one hundred twenty".