2004530240 has 56 divisors (see below), whose sum is σ = 4801011480. Its totient is φ = 797155328.

The previous prime is 2004530239. The next prime is 2004530243. The reversal of 2004530240 is 420354002.

It can be written as a sum of positive squares in 4 ways, for example, as 279290944 + 1725239296 = 16712^2 + 41536^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2004530243) 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, 37256 + ... + 73464.

Almost surely, 2^2004530240 is an apocalyptic number.

2004530240 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 2004530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400505740).

2004530240 is an abundant number, since it is smaller than the sum of its proper divisors (2796481240).

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

2004530240 is a wasteful number, since it uses less digits than its factorization.

2004530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36399 (or 36389 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2004530240 is about 44771.9805235373. The cubic root of 2004530240 is about 1260.8716233243.

Adding to 2004530240 its reverse (420354002), we get a palindrome (2424884242).

The spelling of 2004530240 in words is "two billion, four million, five hundred thirty thousand, two hundred forty".