2765000016 has 160 divisors (see below), whose sum is σ = 8313872640. Its totient is φ = 878169600.

The previous prime is 2764999997. The next prime is 2765000053. The reversal of 2765000016 is 6100005672.

2765000016 is a `hidden beast` number, since 2 + 7 + 650 + 0 + 0 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4182726 + ... + 4183386.

It is an arithmetic number, because the mean of its divisors is an integer number (51961704).

Almost surely, 2^2765000016 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 2765000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156936320).

2765000016 is an abundant number, since it is smaller than the sum of its proper divisors (5548872624).

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

2765000016 is a wasteful number, since it uses less digits than its factorization.

2765000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2765000016 is about 52583.2674526793. The cubic root of 2765000016 is about 1403.5623590314.

Adding to 2765000016 its reverse (6100005672), we get a palindrome (8865005688).

The spelling of 2765000016 in words is "two billion, seven hundred sixty-five million, sixteen", and thus it is an aban number.