2765828016 has 120 divisors (see below), whose sum is σ = 9230956800. Its totient is φ = 755872128.

The previous prime is 2765827963. The next prime is 2765828059. The reversal of 2765828016 is 6108285672.

It is a super-2 number, since 2×2765828016² = 15299609228180992512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36466 + ... + 82833.

It is an arithmetic number, because the mean of its divisors is an integer number (76924640).

Almost surely, 2^2765828016 is an apocalyptic number.

It is an amenable number.

2765828016 is an abundant number, since it is smaller than the sum of its proper divisors (6465128784).

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

2765828016 is a wasteful number, since it uses less digits than its factorization.

2765828016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119343 (or 119334 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2765828016 is about 52591.1400903232. The cubic root of 2765828016 is about 1403.7024474751.

The spelling of 2765828016 in words is "two billion, seven hundred sixty-five million, eight hundred twenty-eight thousand, sixteen".