2216514120 has 128 divisors (see below), whose sum is σ = 6970803840. Its totient is φ = 563189760.

The previous prime is 2216514089. The next prime is 2216514127. The reversal of 2216514120 is 214156122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2216514127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206322 + ... + 216798.

It is an arithmetic number, because the mean of its divisors is an integer number (54459405).

Almost surely, 2^2216514120 is an apocalyptic number.

2216514120 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 2216514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485401920).

2216514120 is an abundant number, since it is smaller than the sum of its proper divisors (4754289720).

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

2216514120 is a wasteful number, since it uses less digits than its factorization.

2216514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575 (or 10571 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2216514120 is about 47079.8695835067. The cubic root of 2216514120 is about 1303.8375991187.

The spelling of 2216514120 in words is "two billion, two hundred sixteen million, five hundred fourteen thousand, one hundred twenty".