2256545041360 has 80 divisors (see below), whose sum is σ = 5267115003600. Its totient is φ = 899072299008.

The previous prime is 2256545041351. The next prime is 2256545041369. The reversal of 2256545041360 is 631405456522.

It is an interprime number because it is at equal distance from previous prime (2256545041351) and next prime (2256545041369).

It can be written as a sum of positive squares in 8 ways, for example, as 322142515776 + 1934402525584 = 567576^2 + 1390828^2 .

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

It is a super-2 number, since 2×2256545041360² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256545041369) 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, 22100506 + ... + 22202374.

It is an arithmetic number, because the mean of its divisors is an integer number (65838937545).

Almost surely, 2^{2256545041360} is an apocalyptic number.

2256545041360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256545041360 is an abundant number, since it is smaller than the sum of its proper divisors (3010569962240).

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

2256545041360 is a wasteful number, since it uses less digits than its factorization.

2256545041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102968 (or 102962 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 2256545041360 in words is "two trillion, two hundred fifty-six billion, five hundred forty-five million, forty-one thousand, three hundred sixty".