2218615272 has 144 divisors (see below), whose sum is σ = 6391139040. Its totient is φ = 721605024.

The previous prime is 2218615253. The next prime is 2218615309. The reversal of 2218615272 is 2725168122.

It is a happy number.

2218615272 is a `hidden beast` number, since 2 + 2 + 18 + 615 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2256493 + ... + 2257475.

It is an arithmetic number, because the mean of its divisors is an integer number (44382910).

Almost surely, 2^2218615272 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 2218615272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195569520).

2218615272 is an abundant number, since it is smaller than the sum of its proper divisors (4172523768).

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

2218615272 is an frugal number, since it uses more digits than its factorization.

2218615272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1031 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 2218615272 is about 47102.1790578737. The cubic root of 2218615272 is about 1304.2494614135.

The spelling of 2218615272 in words is "two billion, two hundred eighteen million, six hundred fifteen thousand, two hundred seventy-two".