2260678288896 has 240 divisors, whose sum is σ = 6597788381184. Its totient is φ = 745131405312.

The previous prime is 2260678288879. The next prime is 2260678288909. The reversal of 2260678288896 is 6988828760622.

2260678288896 is a `hidden beast` number, since 2 + 2 + 606 + 7 + 8 + 2 + 8 + 8 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×2260678288896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 179655021 + ... + 179667603.

Almost surely, 2^{2260678288896} 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 2260678288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298894190592).

2260678288896 is an abundant number, since it is smaller than the sum of its proper divisors (4337110092288).

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

2260678288896 is a wasteful number, since it uses less digits than its factorization.

2260678288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 2260678288896 in words is "two trillion, two hundred sixty billion, six hundred seventy-eight million, two hundred eighty-eight thousand, eight hundred ninety-six".