2287289824480 has 48 divisors (see below), whose sum is σ = 5412074421600. Its totient is φ = 913501798912.

The previous prime is 2287289824459. The next prime is 2287289824513. The reversal of 2287289824480 is 844289827822.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 10944055 + ... + 11151094.

It is an arithmetic number, because the mean of its divisors is an integer number (112751550450).

Almost surely, 2^{2287289824480} is an apocalyptic number.

2287289824480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2287289824480 is an abundant number, since it is smaller than the sum of its proper divisors (3124784597120).

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

2287289824480 is a wasteful number, since it uses less digits than its factorization.

2287289824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22095811 (or 22095803 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 64.

The spelling of 2287289824480 in words is "two trillion, two hundred eighty-seven billion, two hundred eighty-nine million, eight hundred twenty-four thousand, four hundred eighty".