2762838216 has 72 divisors (see below), whose sum is σ = 7558128630. Its totient is φ = 911752704.

The previous prime is 2762838179. The next prime is 2762838217. The reversal of 2762838216 is 6128382672.

2762838216 is a `hidden beast` number, since 2 + 7 + 628 + 3 + 8 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2759400900 + 3437316 = 52530^2 + 1854^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2762838217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 762040 + ... + 765656.

Almost surely, 2^2762838216 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 2762838216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779064315).

2762838216 is an abundant number, since it is smaller than the sum of its proper divisors (4795290414).

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

2762838216 is a wasteful number, since it uses less digits than its factorization.

2762838216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3725 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2762838216 is about 52562.7074645133. The cubic root of 2762838216 is about 1403.1964744989.

The spelling of 2762838216 in words is "two billion, seven hundred sixty-two million, eight hundred thirty-eight thousand, two hundred sixteen".