2768620416 has 128 divisors (see below), whose sum is σ = 7991577600. Its totient is φ = 846028800.

The previous prime is 2768620381. The next prime is 2768620433. The reversal of 2768620416 is 6140268672.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220056 + ... + 232296.

It is an arithmetic number, because the mean of its divisors is an integer number (62434200).

Almost surely, 2^2768620416 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 2768620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995788800).

2768620416 is an abundant number, since it is smaller than the sum of its proper divisors (5222957184).

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

2768620416 is a wasteful number, since it uses less digits than its factorization.

2768620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2768620416 is about 52617.6815908873. The cubic root of 2768620416 is about 1404.1746846391.

The spelling of 2768620416 in words is "two billion, seven hundred sixty-eight million, six hundred twenty thousand, four hundred sixteen".