2866505906880 has 1792 divisors, whose sum is σ = 13126067159040. Its totient is φ = 571484160000.

The previous prime is 2866505906807. The next prime is 2866505906909. The reversal of 2866505906880 is 886095056682.

2866505906880 is a `hidden beast` number, since 2 + 8 + 66 + 505 + 9 + 0 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×2866505906880² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2701701550 + ... + 2701702610.

Almost surely, 2^{2866505906880} is an apocalyptic number.

2866505906880 is a gapful number since it is divisible by the number (20) 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 2866505906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563033579520).

2866505906880 is an abundant number, since it is smaller than the sum of its proper divisors (10259561252160).

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

2866505906880 is a wasteful number, since it uses less digits than its factorization.

2866505906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 2866505906880 in words is "two trillion, eight hundred sixty-six billion, five hundred five million, nine hundred six thousand, eight hundred eighty".