2215113120 has 216 divisors, whose sum is σ = 8309387268. Its totient is φ = 536954880.

The previous prime is 2215113053. The next prime is 2215113127. The reversal of 2215113120 is 213115122.

It can be written as a sum of positive squares in 2 ways, for example, as 2122260624 + 92852496 = 46068^2 + 9636^2 .

It is a super-2 number, since 2×2215113120² = 9813452268792268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2215113093 and 2215113102.

It is not an unprimeable number, because it can be changed into a prime (2215113127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167884 + ... + 180596.

Almost surely, 2^2215113120 is an apocalyptic number.

2215113120 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 2215113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154693634).

2215113120 is an abundant number, since it is smaller than the sum of its proper divisors (6094274148).

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

2215113120 is a wasteful number, since it uses less digits than its factorization.

2215113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12734 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2215113120 is about 47064.9882609143. The cubic root of 2215113120 is about 1303.5628341233.

Adding to 2215113120 its reverse (213115122), we get a palindrome (2428228242).

The spelling of 2215113120 in words is "two billion, two hundred fifteen million, one hundred thirteen thousand, one hundred twenty".