2747856125952 has 612 divisors, whose sum is σ = 9535207633536. Its totient is φ = 759528161280.

The previous prime is 2747856125881. The next prime is 2747856126013. The reversal of 2747856125952 is 2595216587472.

It is a happy number.

2747856125952 is a `hidden beast` number, since 2 + 7 + 4 + 7 + 8 + 5 + 612 + 5 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (84672000) is a multiple of the sum of its prime factors (3150).

It is a self number, because there is not a number n which added to its sum of digits gives 2747856125952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 895941123 + ... + 895944189.

Almost surely, 2^{2747856125952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2747856125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767603816768).

2747856125952 is an abundant number, since it is smaller than the sum of its proper divisors (6787351507584).

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

2747856125952 is an equidigital number, since it uses as much as digits as its factorization.

2747856125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3110 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 2747856125952 in words is "two trillion, seven hundred forty-seven billion, eight hundred fifty-six million, one hundred twenty-five thousand, nine hundred fifty-two".