2768726016 has 384 divisors, whose sum is σ = 9812275200. Its totient is φ = 754237440.

The previous prime is 2768725991. The next prime is 2768726041. The reversal of 2768726016 is 6106278672.

It is an interprime number because it is at equal distance from previous prime (2768725991) and next prime (2768726041).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8902501 + ... + 8902811.

It is an arithmetic number, because the mean of its divisors is an integer number (25552800).

Almost surely, 2^2768726016 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 2768726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

2768726016 is an abundant number, since it is smaller than the sum of its proper divisors (7043549184).

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

2768726016 is a wasteful number, since it uses less digits than its factorization.

2768726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2768726016 is about 52618.6850462837. The cubic root of 2768726016 is about 1404.1925369674.

The spelling of 2768726016 in words is "two billion, seven hundred sixty-eight million, seven hundred twenty-six thousand, sixteen".