2544000000 has 308 divisors, whose sum is σ = 8635670712. Its totient is φ = 665600000.

The previous prime is 2543999999. The next prime is 2544000001. The reversal of 2544000000 is 4452.

It is an interprime number because it is at equal distance from previous prime (2543999999) and next prime (2544000001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47999974 + ... + 48000026.

Almost surely, 2^2544000000 is an apocalyptic number.

2544000000 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 2544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317835356).

2544000000 is an abundant number, since it is smaller than the sum of its proper divisors (6091670712).

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

2544000000 is an frugal number, since it uses more digits than its factorization.

2544000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2544000000 is about 50438.0808516740. The cubic root of 2544000000 is about 1365.1248393114.

Adding to 2544000000 its reverse (4452), we get a palindrome (2544004452).

The spelling of 2544000000 in words is "two billion, five hundred forty-four million", and thus it is an aban number.