2832081408 has 480 divisors, whose sum is σ = 9759125376. Its totient is φ = 812187648.

The previous prime is 2832081403. The next prime is 2832081431. The reversal of 2832081408 is 8041802382.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2832081401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27495885 + ... + 27495987.

Almost surely, 2^2832081408 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 2832081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879562688).

2832081408 is an abundant number, since it is smaller than the sum of its proper divisors (6927043968).

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

2832081408 is a wasteful number, since it uses less digits than its factorization.

2832081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2832081408 is about 53217.3036521017. The cubic root of 2832081408 is about 1414.8223474770.

It can be divided in two parts, 2832081 and 408, that added together give a square (2832489 = 1683²).

The spelling of 2832081408 in words is "two billion, eight hundred thirty-two million, eighty-one thousand, four hundred eight".