2281507786080 has 144 divisors (see below), whose sum is σ = 7895302650144. Its totient is φ = 599833006080.

The previous prime is 2281507786079. The next prime is 2281507786121. The reversal of 2281507786080 is 806877051822.

2281507786080 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 507 + 78 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 11055369 + ... + 11259848.

It is an arithmetic number, because the mean of its divisors is an integer number (54828490626).

Almost surely, 2^{2281507786080} is an apocalyptic number.

2281507786080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2281507786080 is an abundant number, since it is smaller than the sum of its proper divisors (5613794864064).

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

2281507786080 is a wasteful number, since it uses less digits than its factorization.

2281507786080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22315309 (or 22315298 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 2281507786080 in words is "two trillion, two hundred eighty-one billion, five hundred seven million, seven hundred eighty-six thousand, eighty".