2768757048 has 96 divisors (see below), whose sum is σ = 7586748000. Its totient is φ = 912155904.

The previous prime is 2768757041. The next prime is 2768757059. The reversal of 2768757048 is 8407578672.

It is a happy number.

2768757048 is a `hidden beast` number, since 2 + 7 + 68 + 7 + 570 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2768756985 and 2768757003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768757041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478186 + ... + 2479302.

It is an arithmetic number, because the mean of its divisors is an integer number (79028625).

Almost surely, 2^2768757048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768757048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793374000).

2768757048 is an abundant number, since it is smaller than the sum of its proper divisors (4817990952).

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

2768757048 is a wasteful number, since it uses less digits than its factorization.

2768757048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 2768757048 is about 52618.9799216975. The cubic root of 2768757048 is about 1404.1977830312.

The spelling of 2768757048 in words is "two billion, seven hundred sixty-eight million, seven hundred fifty-seven thousand, forty-eight".