2756242944 has 480 divisors, whose sum is σ = 10253406240. Its totient is φ = 724598784.

The previous prime is 2756242913. The next prime is 2756242981. The reversal of 2756242944 is 4492426572.

2756242944 is a `hidden beast` number, since 2 + 7 + 562 + 42 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2756242944.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8805732 + ... + 8806044.

It is an arithmetic number, because the mean of its divisors is an integer number (21361263).

Almost surely, 2^2756242944 is an apocalyptic number.

2756242944 is a gapful number since it is divisible by the number (24) 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 2756242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126703120).

2756242944 is an abundant number, since it is smaller than the sum of its proper divisors (7497163296).

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

2756242944 is a wasteful number, since it uses less digits than its factorization.

2756242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 338 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2756242944 is about 52499.9327999570. The cubic root of 2756242944 is about 1402.0790443583.

The spelling of 2756242944 in words is "two billion, seven hundred fifty-six million, two hundred forty-two thousand, nine hundred forty-four".