2280871305216 has 672 divisors, whose sum is σ = 7903945584000. Its totient is φ = 648125743104.

The previous prime is 2280871305107. The next prime is 2280871305299. The reversal of 2280871305216 is 6125031780822.

2280871305216 is a `hidden beast` number, since 2 + 28 + 0 + 8 + 71 + 30 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2481905205 + ... + 2481906123.

Almost surely, 2^{2280871305216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280871305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951972792000).

2280871305216 is an abundant number, since it is smaller than the sum of its proper divisors (5623074278784).

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

2280871305216 is an equidigital number, since it uses as much as digits as its factorization.

2280871305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2280871305216 in words is "two trillion, two hundred eighty billion, eight hundred seventy-one million, three hundred five thousand, two hundred sixteen".