2004350544 has 120 divisors (see below), whose sum is σ = 6631896960. Its totient is φ = 552916224.

The previous prime is 2004350471. The next prime is 2004350549. The reversal of 2004350544 is 4450534002.

It is a super-2 number, since 2×2004350544² = 8034842206466191872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004350549) 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, 5052 + ... + 63515.

It is an arithmetic number, because the mean of its divisors is an integer number (55265808).

Almost surely, 2^2004350544 is an apocalyptic number.

2004350544 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 2004350544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315948480).

2004350544 is an abundant number, since it is smaller than the sum of its proper divisors (4627546416).

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

2004350544 is a wasteful number, since it uses less digits than its factorization.

2004350544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68617 (or 68608 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2004350544 is about 44769.9736877296. The cubic root of 2004350544 is about 1260.8339452766.

Adding to 2004350544 its reverse (4450534002), we get a palindrome (6454884546).

The spelling of 2004350544 in words is "two billion, four million, three hundred fifty thousand, five hundred forty-four".