2081604096 has 480 divisors, whose sum is σ = 7368546240. Its totient is φ = 582266880.

The previous prime is 2081604047. The next prime is 2081604131. The reversal of 2081604096 is 6904061802.

It is a super-2 number, since 2×2081604096² = 8666151224967954432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2081604096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160123386 + ... + 160123398.

It is an arithmetic number, because the mean of its divisors is an integer number (15351138).

Almost surely, 2^2081604096 is an apocalyptic number.

2081604096 is a gapful number since it is divisible by the number (26) 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 2081604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684273120).

2081604096 is an abundant number, since it is smaller than the sum of its proper divisors (5286942144).

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

2081604096 is an frugal number, since it uses more digits than its factorization.

2081604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

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

The square root of 2081604096 is about 45624.5996804356. The cubic root of 2081604096 is about 1276.8289212738.

Adding to 2081604096 its reverse (6904061802), we get a palindrome (8985665898).

The spelling of 2081604096 in words is "two billion, eighty-one million, six hundred four thousand, ninety-six".