2806834625280 has 432 divisors, whose sum is σ = 11111543089920. Its totient is φ = 640819372032.

The previous prime is 2806834625267. The next prime is 2806834625281. The reversal of 2806834625280 is 825264386082.

It is a happy number.

2806834625280 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 8 + 3 + 4 + 625 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×2806834625280² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2806834625281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71185411 + ... + 71224829.

It is an arithmetic number, because the mean of its divisors is an integer number (25721164560).

Almost surely, 2^{2806834625280} is an apocalyptic number.

2806834625280 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 2806834625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555771544960).

2806834625280 is an abundant number, since it is smaller than the sum of its proper divisors (8304708464640).

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

2806834625280 is a wasteful number, since it uses less digits than its factorization.

2806834625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40336 (or 40319 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2806834625280 in words is "two trillion, eight hundred six billion, eight hundred thirty-four million, six hundred twenty-five thousand, two hundred eighty".