2245525244560 has 80 divisors (see below), whose sum is σ = 5627254207680. Its totient is φ = 828408522240.

The previous prime is 2245525244551. The next prime is 2245525244563. The reversal of 2245525244560 is 654425255422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2245525244560.

It is not an unprimeable number, because it can be changed into a prime (2245525244563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295911 + ... + 2139769.

It is an arithmetic number, because the mean of its divisors is an integer number (70340677596).

Almost surely, 2^{2245525244560} is an apocalyptic number.

2245525244560 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 2245525244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813627103840).

2245525244560 is an abundant number, since it is smaller than the sum of its proper divisors (3381728963120).

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

2245525244560 is a wasteful number, since it uses less digits than its factorization.

2245525244560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845056 (or 1845050 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 46.

The spelling of 2245525244560 in words is "two trillion, two hundred forty-five billion, five hundred twenty-five million, two hundred forty-four thousand, five hundred sixty".