241604005200 has 120 divisors (see below), whose sum is σ = 776674018848. Its totient is φ = 64199984640.

The previous prime is 241604005193. The next prime is 241604005249. The reversal of 241604005200 is 2500406142.

241604005200 is digitally balanced in base 3, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16119 + ... + 695318.

Almost surely, 2^241604005200 is an apocalyptic number.

241604005200 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 241604005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388337009424).

241604005200 is an abundant number, since it is smaller than the sum of its proper divisors (535070013648).

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

241604005200 is a wasteful number, since it uses less digits than its factorization.

241604005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711741 (or 711730 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 241604005200 in words is "two hundred forty-one billion, six hundred four million, five thousand, two hundred".