2219884560 has 240 divisors, whose sum is σ = 7991702784. Its totient is φ = 550775808.

The previous prime is 2219884543. The next prime is 2219884561. The reversal of 2219884560 is 654889122.

2219884560 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 8 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2219884561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610909 + ... + 614531.

Almost surely, 2^2219884560 is an apocalyptic number.

2219884560 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 2219884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995851392).

2219884560 is an abundant number, since it is smaller than the sum of its proper divisors (5771818224).

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

2219884560 is a wasteful number, since it uses less digits than its factorization.

2219884560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2219884560 is about 47115.6509028582. The cubic root of 2219884560 is about 1304.4981379355.

The spelling of 2219884560 in words is "two billion, two hundred nineteen million, eight hundred eighty-four thousand, five hundred sixty".