2806826241024 has 396 divisors, whose sum is σ = 9238035261000. Its totient is φ = 818175541248.

The previous prime is 2806826241019. The next prime is 2806826241059. The reversal of 2806826241024 is 4201426286082.

2806826241024 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 8 + 2 + 624 + 10 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29545152 + ... + 29640000.

Almost surely, 2^{2806826241024} is an apocalyptic number.

2806826241024 is a gapful number since it is divisible by the number (24) 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 2806826241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619017630500).

2806826241024 is an abundant number, since it is smaller than the sum of its proper divisors (6431209019976).

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

2806826241024 is a wasteful number, since it uses less digits than its factorization.

2806826241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94920 (or 94886 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2806826241024 in words is "two trillion, eight hundred six billion, eight hundred twenty-six million, two hundred forty-one thousand, twenty-four".