2758352768 has 64 divisors (see below), whose sum is σ = 5574096000. Its totient is φ = 1359521280.

The previous prime is 2758352767. The next prime is 2758352789. The reversal of 2758352768 is 8672538572.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2758352761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3001013 + ... + 3001931.

It is an arithmetic number, because the mean of its divisors is an integer number (87095250).

Almost surely, 2^2758352768 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 2758352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787048000).

2758352768 is an abundant number, since it is smaller than the sum of its proper divisors (2815743232).

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

2758352768 is a wasteful number, since it uses less digits than its factorization.

2758352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 53.

The square root of 2758352768 is about 52520.0225437880. The cubic root of 2758352768 is about 1402.4367033901.

The spelling of 2758352768 in words is "two billion, seven hundred fifty-eight million, three hundred fifty-two thousand, seven hundred sixty-eight".