2218741560 has 288 divisors, whose sum is σ = 8508043440. Its totient is φ = 499903488.

The previous prime is 2218741513. The next prime is 2218741561. The reversal of 2218741560 is 651478122.

2218741560 is a `hidden beast` number, since 2 + 2 + 187 + 415 + 60 = 666.

2218741560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2218741560² = 9845628220142467200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218741561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1286859 + ... + 1288581.

Almost surely, 2^2218741560 is an apocalyptic number.

2218741560 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 2218741560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254021720).

2218741560 is an abundant number, since it is smaller than the sum of its proper divisors (6289301880).

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

2218741560 is a wasteful number, since it uses less digits than its factorization.

2218741560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1813 counting only the distinct ones).

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

The square root of 2218741560 is about 47103.5196137189. The cubic root of 2218741560 is about 1304.2742077696.

The spelling of 2218741560 in words is "two billion, two hundred eighteen million, seven hundred forty-one thousand, five hundred sixty".