2265103266560 has 288 divisors, whose sum is σ = 5711958000000. Its totient is φ = 858967769088.

The previous prime is 2265103266527. The next prime is 2265103266571. The reversal of 2265103266560 is 656623015622.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813532816 + ... + 1813534064.

It is an arithmetic number, because the mean of its divisors is an integer number (19833187500).

Almost surely, 2^{2265103266560} is an apocalyptic number.

2265103266560 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 2265103266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855979000000).

2265103266560 is an abundant number, since it is smaller than the sum of its proper divisors (3446854733440).

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

2265103266560 is a wasteful number, since it uses less digits than its factorization.

2265103266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 2265103266560 in words is "two trillion, two hundred sixty-five billion, one hundred three million, two hundred sixty-six thousand, five hundred sixty".