2004001032 has 96 divisors (see below), whose sum is σ = 5537226240. Its totient is φ = 603926400.

The previous prime is 2004001031. The next prime is 2004001039. The reversal of 2004001032 is 2301004002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2004000999 and 2004001017.

It is not an unprimeable number, because it can be changed into a prime (2004001031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552858 + ... + 556470.

It is an arithmetic number, because the mean of its divisors is an integer number (57679440).

Almost surely, 2^2004001032 is an apocalyptic number.

2004001032 is a gapful number since it is divisible by the number (22) 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 2004001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768613120).

2004001032 is an abundant number, since it is smaller than the sum of its proper divisors (3533225208).

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

2004001032 is a wasteful number, since it uses less digits than its factorization.

2004001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2004001032 is about 44766.0700977872. The cubic root of 2004001032 is about 1260.7606543358.

Adding to 2004001032 its reverse (2301004002), we get a palindrome (4305005034).

The spelling of 2004001032 in words is "two billion, four million, one thousand, thirty-two".