2756007072 has 192 divisors, whose sum is σ = 9893640960. Its totient is φ = 726838272.

The previous prime is 2756007031. The next prime is 2756007077. The reversal of 2756007072 is 2707006572.

2756007072 is a `hidden beast` number, since 27 + 560 + 0 + 7 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2756007077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61098 + ... + 96150.

It is an arithmetic number, because the mean of its divisors is an integer number (51529380).

Almost surely, 2^2756007072 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 2756007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946820480).

2756007072 is an abundant number, since it is smaller than the sum of its proper divisors (7137633888).

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

2756007072 is a wasteful number, since it uses less digits than its factorization.

2756007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35092 (or 35078 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2756007072 is about 52497.6863490192. The cubic root of 2756007072 is about 1402.0390478087.

The spelling of 2756007072 in words is "two billion, seven hundred fifty-six million, seven thousand, seventy-two".