2004201144 has 160 divisors (see below), whose sum is σ = 6147187200. Its totient is φ = 605033280.

The previous prime is 2004201131. The next prime is 2004201167. The reversal of 2004201144 is 4411024002.

2004201144 is a `hidden beast` number, since 200 + 420 + 1 + 1 + 44 = 666.

It is a super-2 number, since 2×2004201144² = 8033644451221817472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3414019 + ... + 3414605.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 2^2004201144 is an apocalyptic number.

2004201144 is a gapful number since it is divisible by the number (24) 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 2004201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073593600).

2004201144 is an abundant number, since it is smaller than the sum of its proper divisors (4142986056).

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

2004201144 is a wasteful number, since it uses less digits than its factorization.

2004201144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2004201144 is about 44768.3051276235. The cubic root of 2004201144 is about 1260.8026178769.

Adding to 2004201144 its reverse (4411024002), we get a palindrome (6415225146).

The spelling of 2004201144 in words is "two billion, four million, two hundred one thousand, one hundred forty-four".