2544097248 has 432 divisors, whose sum is σ = 9536776704. Its totient is φ = 659715840.

The previous prime is 2544097223. The next prime is 2544097289. The reversal of 2544097248 is 8427904452.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4190961 + ... + 4191567.

It is an arithmetic number, because the mean of its divisors is an integer number (22075872).

Almost surely, 2^2544097248 is an apocalyptic number.

2544097248 is a gapful number since it is divisible by the number (28) 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 2544097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768388352).

2544097248 is an abundant number, since it is smaller than the sum of its proper divisors (6992679456).

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

2544097248 is a wasteful number, since it uses less digits than its factorization.

2544097248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2544097248 is about 50439.0448759689. The cubic root of 2544097248 is about 1365.1422336994.

The spelling of 2544097248 in words is "two billion, five hundred forty-four million, ninety-seven thousand, two hundred forty-eight".