2712125646 has 128 divisors (see below), whose sum is σ = 6515510400. Its totient is φ = 834462720.

The previous prime is 2712125599. The next prime is 2712125653. The reversal of 2712125646 is 6465212172.

It is a happy number.

2712125646 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 1 + 2 + 5 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2712125646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3402520 + ... + 3403316.

It is an arithmetic number, because the mean of its divisors is an integer number (50902425).

Almost surely, 2^2712125646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712125646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257755200).

2712125646 is an abundant number, since it is smaller than the sum of its proper divisors (3803384754).

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

2712125646 is a wasteful number, since it uses less digits than its factorization.

With its successor (2712125647) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (925).

With its successor (2712125647) it forms an eRAP, since the sums of their prime factors are consecutive (931 and 932).

2712125646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2712125646 is about 52078.0726025839. The cubic root of 2712125646 is about 1394.5580655834.

The spelling of 2712125646 in words is "two billion, seven hundred twelve million, one hundred twenty-five thousand, six hundred forty-six".