2223442690560 has 2880 divisors, whose sum is σ = 10383709400064. Its totient is φ = 451480780800.

The previous prime is 2223442690523. The next prime is 2223442690631. The reversal of 2223442690560 is 650962443222.

2223442690560 is a `hidden beast` number, since 2 + 2 + 23 + 4 + 4 + 2 + 69 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×2223442690560² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12284213670 + ... + 12284213850.

Almost surely, 2^{2223442690560} is an apocalyptic number.

2223442690560 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 2223442690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191854700032).

2223442690560 is an abundant number, since it is smaller than the sum of its proper divisors (8160266709504).

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

2223442690560 is a wasteful number, since it uses less digits than its factorization.

2223442690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2223442690560 in words is "two trillion, two hundred twenty-three billion, four hundred forty-two million, six hundred ninety thousand, five hundred sixty".