2751331968 has 512 divisors, whose sum is σ = 10379520000. Its totient is φ = 711244800.

The previous prime is 2751331963. The next prime is 2751331991. The reversal of 2751331968 is 8691331572.

2751331968 is a `hidden beast` number, since 275 + 1 + 3 + 319 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2751331963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13039383 + ... + 13039593.

It is an arithmetic number, because the mean of its divisors is an integer number (20272500).

Almost surely, 2^2751331968 is an apocalyptic number.

2751331968 is a gapful number since it is divisible by the number (28) 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 2751331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189760000).

2751331968 is an abundant number, since it is smaller than the sum of its proper divisors (7628188032).

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

2751331968 is a wasteful number, since it uses less digits than its factorization.

2751331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2751331968 is about 52453.1406876652. The cubic root of 2751331968 is about 1401.2458243771.

The spelling of 2751331968 in words is "two billion, seven hundred fifty-one million, three hundred thirty-one thousand, nine hundred sixty-eight".