2816161632 has 72 divisors (see below), whose sum is σ = 8026901064. Its totient is φ = 936559104.

The previous prime is 2816161631. The next prime is 2816161637. The reversal of 2816161632 is 2361616182.

It is a happy number.

2816161632 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 1 + 616 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816161631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116548 + ... + 138620.

It is an arithmetic number, because the mean of its divisors is an integer number (111484737).

Almost surely, 2^2816161632 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 2816161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013450532).

2816161632 is an abundant number, since it is smaller than the sum of its proper divisors (5210739432).

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

2816161632 is a wasteful number, since it uses less digits than its factorization.

2816161632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22532 (or 22521 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2816161632 is about 53067.5195576353. The cubic root of 2816161632 is about 1412.1663514763.

The spelling of 2816161632 in words is "two billion, eight hundred sixteen million, one hundred sixty-one thousand, six hundred thirty-two".