2758668768 has 36 divisors (see below), whose sum is σ = 7844965128. Its totient is φ = 919556160.

The previous prime is 2758668763. The next prime is 2758668817. The reversal of 2758668768 is 8678668572.

2758668768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2758668768² = 15220506743077275648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2758668763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4789068 + ... + 4789643.

It is an arithmetic number, because the mean of its divisors is an integer number (217915698).

Almost surely, 2^2758668768 is an apocalyptic number.

It is an amenable number.

2758668768 is an abundant number, since it is smaller than the sum of its proper divisors (5086296360).

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

2758668768 is a wasteful number, since it uses less digits than its factorization.

2758668768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9578727 (or 9578716 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The square root of 2758668768 is about 52523.0308341017. The cubic root of 2758668768 is about 1402.4902562546.

The spelling of 2758668768 in words is "two billion, seven hundred fifty-eight million, six hundred sixty-eight thousand, seven hundred sixty-eight".