2280960759168 has 3072 divisors, whose sum is σ = 9700566220800. Its totient is φ = 496867737600.

The previous prime is 2280960759157. The next prime is 2280960759269. The reversal of 2280960759168 is 8619570690822.

2280960759168 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 9 + 607 + 5 + 9 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 43036995430 + ... + 43036995482.

It is an arithmetic number, because the mean of its divisors is an integer number (3157736400).

Almost surely, 2^{2280960759168} is an apocalyptic number.

2280960759168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280960759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850283110400).

2280960759168 is an abundant number, since it is smaller than the sum of its proper divisors (7419605461632).

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

2280960759168 is a wasteful number, since it uses less digits than its factorization.

2280960759168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 2280960759168 in words is "two trillion, two hundred eighty billion, nine hundred sixty million, seven hundred fifty-nine thousand, one hundred sixty-eight".