2806266542112 has 432 divisors, whose sum is σ = 9113927318496. Its totient is φ = 848768025600.

The previous prime is 2806266542111. The next prime is 2806266542129. The reversal of 2806266542112 is 2112456626082.

2806266542112 is a `hidden beast` number, since 2 + 8 + 0 + 626 + 6 + 5 + 4 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (2806266542111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 552303412 + ... + 552308492.

It is an arithmetic number, because the mean of its divisors is an integer number (21097053978).

Almost surely, 2^{2806266542112} is an apocalyptic number.

2806266542112 is a gapful number since it is divisible by the number (22) 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 2806266542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556963659248).

2806266542112 is an abundant number, since it is smaller than the sum of its proper divisors (6307660776384).

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

2806266542112 is a wasteful number, since it uses less digits than its factorization.

2806266542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2806266542112 in words is "two trillion, eight hundred six billion, two hundred sixty-six million, five hundred forty-two thousand, one hundred twelve".