2250627218560 has 64 divisors (see below), whose sum is σ = 6149035091520. Its totient is φ = 771643616256.

The previous prime is 2250627218549. The next prime is 2250627218597. The reversal of 2250627218560 is 658127260522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2250627218560.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 251181594 + ... + 251190553.

It is an arithmetic number, because the mean of its divisors is an integer number (96078673305).

Almost surely, 2^{2250627218560} is an apocalyptic number.

2250627218560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250627218560 is an abundant number, since it is smaller than the sum of its proper divisors (3898407872960).

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

2250627218560 is an equidigital number, since it uses as much as digits as its factorization.

2250627218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502372173 (or 502372161 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 2250627218560 in words is "two trillion, two hundred fifty billion, six hundred twenty-seven million, two hundred eighteen thousand, five hundred sixty".