2744513968 has 40 divisors (see below), whose sum is σ = 6079665440. Its totient is φ = 1175731200.

The previous prime is 2744513951. The next prime is 2744513969. The reversal of 2744513968 is 8693154472.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2744513969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432418 + ... + 438718.

It is an arithmetic number, because the mean of its divisors is an integer number (151991636).

Almost surely, 2^2744513968 is an apocalyptic number.

2744513968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2744513968 is an abundant number, since it is smaller than the sum of its proper divisors (3335151472).

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

2744513968 is a wasteful number, since it uses less digits than its factorization.

2744513968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10199 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 2744513968 is about 52388.1090324894. The cubic root of 2744513968 is about 1400.0874040669.

The spelling of 2744513968 in words is "two billion, seven hundred forty-four million, five hundred thirteen thousand, nine hundred sixty-eight".