2523241200 has 240 divisors, whose sum is σ = 8308575360. Its totient is φ = 654351360.

The previous prime is 2523241183. The next prime is 2523241213. The reversal of 2523241200 is 21423252.

2523241200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11115487 + ... + 11115713.

It is an arithmetic number, because the mean of its divisors is an integer number (34619064).

Almost surely, 2^2523241200 is an apocalyptic number.

2523241200 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 2523241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154287680).

2523241200 is an abundant number, since it is smaller than the sum of its proper divisors (5785334160).

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

2523241200 is a wasteful number, since it uses less digits than its factorization.

2523241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2523241200 is about 50231.8743428911. The cubic root of 2523241200 is about 1361.4015971364.

Adding to 2523241200 its reverse (21423252), we get a palindrome (2544664452).

The spelling of 2523241200 in words is "two billion, five hundred twenty-three million, two hundred forty-one thousand, two hundred".