2768890338 has 64 divisors (see below), whose sum is σ = 6343470720. Its totient is φ = 894597696.

The previous prime is 2768890331. The next prime is 2768890361. The reversal of 2768890338 is 8330988672.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2768890331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550945 + ... + 555947.

It is an arithmetic number, because the mean of its divisors is an integer number (99116730).

Almost surely, 2^2768890338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768890338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171735360).

2768890338 is an abundant number, since it is smaller than the sum of its proper divisors (3574580382).

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

2768890338 is a wasteful number, since it uses less digits than its factorization.

2768890338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2768890338 is about 52620.2464646451. The cubic root of 2768890338 is about 1404.2203157075.

The spelling of 2768890338 in words is "two billion, seven hundred sixty-eight million, eight hundred ninety thousand, three hundred thirty-eight".