2806261536100 has 243 divisors, whose sum is σ = 6806582540289. Its totient is φ = 1003505817600.

The previous prime is 2806261536073. The next prime is 2806261536103. The reversal of 2806261536100 is 16351626082.

The square root of 2806261536100 is 1675190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2421802013796 + 384459522304 = 1556214^2 + 620048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2806261536103) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 17874277222 + ... + 17874277378.

Almost surely, 2^{2806261536100} is an apocalyptic number.

2806261536100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2806261536100 is the 1675190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806261536100

2806261536100 is an abundant number, since it is smaller than the sum of its proper divisors (4000321004189).

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

2806261536100 is a wasteful number, since it uses less digits than its factorization.

2806261536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 2806261536100 in words is "two trillion, eight hundred six billion, two hundred sixty-one million, five hundred thirty-six thousand, one hundred".