2816765952 has 416 divisors, whose sum is σ = 10128007680. Its totient is φ = 672399360.

The previous prime is 2816765947. The next prime is 2816765953. The reversal of 2816765952 is 2595676182.

It is a tau number, because it is divible by the number of its divisors (416).

It is a junction number, because it is equal to n+sod(n) for n = 2816765895 and 2816765904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816765953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12300174 + ... + 12300402.

Almost surely, 2^2816765952 is an apocalyptic number.

2816765952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064003840).

2816765952 is an abundant number, since it is smaller than the sum of its proper divisors (7311241728).

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

2816765952 is a wasteful number, since it uses less digits than its factorization.

2816765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 2816765952 is about 53073.2131305426. The cubic root of 2816765952 is about 1412.2673564901.

The spelling of 2816765952 in words is "two billion, eight hundred sixteen million, seven hundred sixty-five thousand, nine hundred fifty-two".