2004033400 has 96 divisors (see below), whose sum is σ = 4851252000. Its totient is φ = 768965120.

The previous prime is 2004033377. The next prime is 2004033439. The reversal of 2004033400 is 43304002.

It is a super-2 number, since 2×2004033400² = 8032299736631120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967566 + ... + 969634.

It is an arithmetic number, because the mean of its divisors is an integer number (50533875).

Almost surely, 2^2004033400 is an apocalyptic number.

2004033400 is a gapful number since it is divisible by the number (20) 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 2004033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425626000).

2004033400 is an abundant number, since it is smaller than the sum of its proper divisors (2847218600).

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

2004033400 is a wasteful number, since it uses less digits than its factorization.

2004033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2004033400 is about 44766.4316201325. The cubic root of 2004033400 is about 1260.7674421037.

Adding to 2004033400 its reverse (43304002), we get a palindrome (2047337402).

The spelling of 2004033400 in words is "two billion, four million, thirty-three thousand, four hundred".