2219286706560 has 1152 divisors, whose sum is σ = 10039224499200. Its totient is φ = 446255308800.

The previous prime is 2219286706531. The next prime is 2219286706573. The reversal of 2219286706560 is 656076829122.

2219286706560 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 2 + 8 + 6 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 2219286706497 and 2219286706506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96232311 + ... + 96255369.

It is an arithmetic number, because the mean of its divisors is an integer number (8714604600).

Almost surely, 2^{2219286706560} is an apocalyptic number.

2219286706560 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 2219286706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019612249600).

2219286706560 is an abundant number, since it is smaller than the sum of its proper divisors (7819937792640).

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

2219286706560 is a wasteful number, since it uses less digits than its factorization.

2219286706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23140 (or 23118 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2219286706560 in words is "two trillion, two hundred nineteen billion, two hundred eighty-six million, seven hundred six thousand, five hundred sixty".