2004003880 has 32 divisors (see below), whose sum is σ = 4518831240. Its totient is φ = 799855360.

The previous prime is 2004003871. The next prime is 2004003889. The reversal of 2004003880 is 883004002.

It is an interprime number because it is at equal distance from previous prime (2004003871) and next prime (2004003889).

It can be written as a sum of positive squares in 4 ways, for example, as 1815271236 + 188732644 = 42606^2 + 13738^2 .

It is a super-3 number, since 3×2004003880³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004003889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35899 + ... + 72778.

Almost surely, 2^2004003880 is an apocalyptic number.

2004003880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004003880 is an abundant number, since it is smaller than the sum of its proper divisors (2514827360).

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

2004003880 is a wasteful number, since it uses less digits than its factorization.

2004003880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109149 (or 109145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2004003880 is about 44766.1019075818. The cubic root of 2004003880 is about 1260.7612515818.

Adding to 2004003880 its reverse (883004002), we get a palindrome (2887007882).

The spelling of 2004003880 in words is "two billion, four million, three thousand, eight hundred eighty".