2768353616 has 120 divisors (see below), whose sum is σ = 6450765696. Its totient is φ = 1126379520.

The previous prime is 2768353613. The next prime is 2768353619. The reversal of 2768353616 is 6163538672.

It is an interprime number because it is at equal distance from previous prime (2768353613) and next prime (2768353619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768353613) 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, 28539680 + ... + 28539776.

Almost surely, 2^2768353616 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 2768353616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225382848).

2768353616 is an abundant number, since it is smaller than the sum of its proper divisors (3682412080).

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

2768353616 is an equidigital number, since it uses as much as digits as its factorization.

2768353616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 214 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The square root of 2768353616 is about 52615.1462603688. The cubic root of 2768353616 is about 1404.1295784389.

The spelling of 2768353616 in words is "two billion, seven hundred sixty-eight million, three hundred fifty-three thousand, six hundred sixteen".