2756812752 has 320 divisors, whose sum is σ = 9213696000. Its totient is φ = 782825472.

The previous prime is 2756812727. The next prime is 2756812757. The reversal of 2756812752 is 2572186572.

2756812752 is a `hidden beast` number, since 2 + 7 + 568 + 12 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2756812698 and 2756812707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756812757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3208899 + ... + 3209757.

It is an arithmetic number, because the mean of its divisors is an integer number (28792800).

Almost surely, 2^2756812752 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 2756812752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606848000).

2756812752 is an abundant number, since it is smaller than the sum of its proper divisors (6456883248).

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

2756812752 is a wasteful number, since it uses less digits than its factorization.

2756812752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 2756812752 is about 52505.3592693165. The cubic root of 2756812752 is about 1402.1756566459.

The spelling of 2756812752 in words is "two billion, seven hundred fifty-six million, eight hundred twelve thousand, seven hundred fifty-two".