2754747072 has 504 divisors, whose sum is σ = 10570098240. Its totient is φ = 676408320.

The previous prime is 2754747071. The next prime is 2754747077. The reversal of 2754747072 is 2707474572.

2754747072 is a `hidden beast` number, since 2 + 75 + 47 + 470 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (2754747071) 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 71 ways as a sum of consecutive naturals, for example, 5898583 + ... + 5899049.

Almost surely, 2^2754747072 is an apocalyptic number.

2754747072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285049120).

2754747072 is an abundant number, since it is smaller than the sum of its proper divisors (7815351168).

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

2754747072 is a wasteful number, since it uses less digits than its factorization.

2754747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The square root of 2754747072 is about 52485.6844482379. The cubic root of 2754747072 is about 1401.8253523624.

The spelling of 2754747072 in words is "two billion, seven hundred fifty-four million, seven hundred forty-seven thousand, seventy-two".