2768888672 has 96 divisors (see below), whose sum is σ = 6294081024. Its totient is φ = 1186662400.

The previous prime is 2768888663. The next prime is 2768888729.

2768888672 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572408 + ... + 577224.

It is an arithmetic number, because the mean of its divisors is an integer number (65563344).

Almost surely, 2^2768888672 is an apocalyptic number.

2768888672 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 2768888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147040512).

2768888672 is an abundant number, since it is smaller than the sum of its proper divisors (3525192352).

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

2768888672 is a wasteful number, since it uses less digits than its factorization.

2768888672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4924 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 62.

The square root of 2768888672 is about 52620.2306342342. The cubic root of 2768888672 is about 1404.2200340746.

The spelling of 2768888672 in words is "two billion, seven hundred sixty-eight million, eight hundred eighty-eight thousand, six hundred seventy-two".