2281942720512 has 2352 divisors, whose sum is σ = 9437504477760. Its totient is φ = 536617156608.

The previous prime is 2281942720501. The next prime is 2281942720543. The reversal of 2281942720512 is 2150272491822.

2281942720512 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 9 + 427 + 205 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 120102248439 + ... + 120102248457.

Almost surely, 2^{2281942720512} 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 2281942720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718752238880).

2281942720512 is an abundant number, since it is smaller than the sum of its proper divisors (7155561757248).

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

2281942720512 is an equidigital number, since it uses as much as digits as its factorization.

2281942720512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

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

The spelling of 2281942720512 in words is "two trillion, two hundred eighty-one billion, nine hundred forty-two million, seven hundred twenty thousand, five hundred twelve".