2205244258560 has 720 divisors, whose sum is σ = 9063929952000. Its totient is φ = 501490040832.

The previous prime is 2205244258559. The next prime is 2205244258579. The reversal of 2205244258560 is 658524425022.

2205244258560 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 2 + 4 + 4 + 2 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144418606 + ... + 144433874.

It is an arithmetic number, because the mean of its divisors is an integer number (12588791600).

Almost surely, 2^{2205244258560} is an apocalyptic number.

2205244258560 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 2205244258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531964976000).

2205244258560 is an abundant number, since it is smaller than the sum of its proper divisors (6858685693440).

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

2205244258560 is a wasteful number, since it uses less digits than its factorization.

2205244258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15508 (or 15485 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 2205244258560 in words is "two trillion, two hundred five billion, two hundred forty-four million, two hundred fifty-eight thousand, five hundred sixty".