2544042400 has 144 divisors (see below), whose sum is σ = 6549190200. Its totient is φ = 963522560.

The previous prime is 2544042353. The next prime is 2544042409. The reversal of 2544042400 is 42404452.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 89038096 + 2455004304 = 9436^2 + 49548^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544042409) 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, 1228566 + ... + 1230634.

Almost surely, 2^2544042400 is an apocalyptic number.

2544042400 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 2544042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274595100).

2544042400 is an abundant number, since it is smaller than the sum of its proper divisors (4005147800).

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

2544042400 is a wasteful number, since it uses less digits than its factorization.

2544042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 2544042400 is about 50438.5011672631. The cubic root of 2544042400 is about 1365.1324232962.

Adding to 2544042400 its reverse (42404452), we get a palindrome (2586446852).

The spelling of 2544042400 in words is "two billion, five hundred forty-four million, forty-two thousand, four hundred".