2754368768 has 36 divisors (see below), whose sum is σ = 5516892948. Its totient is φ = 1372446720.

The previous prime is 2754368753. The next prime is 2754368783. The reversal of 2754368768 is 8678634572.

It is an interprime number because it is at equal distance from previous prime (2754368753) and next prime (2754368783).

It can be written as a sum of positive squares in 2 ways, for example, as 1067459584 + 1686909184 = 32672^2 + 41072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56648 + ... + 93368.

Almost surely, 2^2754368768 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 2754368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758446474).

2754368768 is an abundant number, since it is smaller than the sum of its proper divisors (2762524180).

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

2754368768 is an equidigital number, since it uses as much as digits as its factorization.

2754368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37030 (or 37016 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 56.

The square root of 2754368768 is about 52482.0804465677. The cubic root of 2754368768 is about 1401.7611794514.

The spelling of 2754368768 in words is "two billion, seven hundred fifty-four million, three hundred sixty-eight thousand, seven hundred sixty-eight".