2004890176 has 63 divisors (see below), whose sum is σ = 4141832331. Its totient is φ = 962863104.

The previous prime is 2004890171. The next prime is 2004890221. The reversal of 2004890176 is 6710984002.

The square root of 2004890176 is 44776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 119246400 + 1885643776 = 10920^2 + 43424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004890171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10387936 + ... + 10388128.

Almost surely, 2^2004890176 is an apocalyptic number.

2004890176 is the 44776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004890176

2004890176 is an abundant number, since it is smaller than the sum of its proper divisors (2136942155).

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

2004890176 is an frugal number, since it uses more digits than its factorization.

2004890176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 2004890176 is about 1260.9470867119.

It can be divided in two parts, 20048 and 90176, that added together give a square (110224 = 332²).

The spelling of 2004890176 in words is "two billion, four million, eight hundred ninety thousand, one hundred seventy-six".