2544004000 has 96 divisors (see below), whose sum is σ = 6266647296. Its totient is φ = 1014995200.

The previous prime is 2544003991. The next prime is 2544004009. The reversal of 2544004000 is 4004452.

It is an interprime number because it is at equal distance from previous prime (2544003991) and next prime (2544004009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544004009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2587509 + ... + 2588491.

It is an arithmetic number, because the mean of its divisors is an integer number (65277576).

Almost surely, 2^2544004000 is an apocalyptic number.

2544004000 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 2544004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133323648).

2544004000 is an abundant number, since it is smaller than the sum of its proper divisors (3722643296).

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

2544004000 is an equidigital number, since it uses as much as digits as its factorization.

2544004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2544004000 is about 50438.1205042377. The cubic root of 2544004000 is about 1365.1255547853.

Adding to 2544004000 its reverse (4004452), we get a palindrome (2548008452).

The spelling of 2544004000 in words is "two billion, five hundred forty-four million, four thousand".