2735672025006 has 24 divisors (see below), whose sum is σ = 6039125038440. Its totient is φ = 894685190256.

The previous prime is 2735672024999. The next prime is 2735672025067. The reversal of 2735672025006 is 6005202765372.

2735672025006 is a `hidden beast` number, since 2 + 73 + 5 + 6 + 72 + 0 + 2 + 500 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433789416 + ... + 1433791323.

It is an arithmetic number, because the mean of its divisors is an integer number (251630209935).

Almost surely, 2^{2735672025006} is an apocalyptic number.

2735672025006 is an abundant number, since it is smaller than the sum of its proper divisors (3303453013434).

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

2735672025006 is a wasteful number, since it uses less digits than its factorization.

2735672025006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867580800 (or 2867580797 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 2735672025006 in words is "two trillion, seven hundred thirty-five billion, six hundred seventy-two million, twenty-five thousand, six".