2825434734606 has 144 divisors (see below), whose sum is σ = 6776336221200. Its totient is φ = 850174617600.

The previous prime is 2825434734583. The next prime is 2825434734641. The reversal of 2825434734606 is 6064374345282.

2825434734606 is a `hidden beast` number, since 2 + 8 + 2 + 543 + 4 + 7 + 34 + 60 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206334696 + ... + 206348388.

It is an arithmetic number, because the mean of its divisors is an integer number (47057890425).

Almost surely, 2^{2825434734606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825434734606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388168110600).

2825434734606 is an abundant number, since it is smaller than the sum of its proper divisors (3950901486594).

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

2825434734606 is a wasteful number, since it uses less digits than its factorization.

2825434734606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14383 (or 14369 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 2825434734606 in words is "two trillion, eight hundred twenty-five billion, four hundred thirty-four million, seven hundred thirty-four thousand, six hundred six".