241778545920 has 432 divisors, whose sum is σ = 881801811072. Its totient is φ = 63412346880.

The previous prime is 241778545909. The next prime is 241778545927. The reversal of 241778545920 is 29545877142.

241778545920 is a `hidden beast` number, since 2 + 4 + 1 + 7 + 7 + 8 + 545 + 92 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241778545927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18967069 + ... + 18979811.

It is an arithmetic number, because the mean of its divisors is an integer number (2041207896).

Almost surely, 2^241778545920 is an apocalyptic number.

241778545920 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 241778545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440900905536).

241778545920 is an abundant number, since it is smaller than the sum of its proper divisors (640023265152).

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

241778545920 is an equidigital number, since it uses as much as digits as its factorization.

241778545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 241778545920 in words is "two hundred forty-one billion, seven hundred seventy-eight million, five hundred forty-five thousand, nine hundred twenty".