241768020 has 144 divisors (see below), whose sum is σ = 743020992. Its totient is φ = 58705920.

The previous prime is 241768013. The next prime is 241768061. The reversal of 241768020 is 20867142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145715 + ... + 1145925.

It is an arithmetic number, because the mean of its divisors is an integer number (5159868).

Almost surely, 2^241768020 is an apocalyptic number.

241768020 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 241768020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371510496).

241768020 is an abundant number, since it is smaller than the sum of its proper divisors (501252972).

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

241768020 is a wasteful number, since it uses less digits than its factorization.

241768020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 241768020 is about 15548.8912788018. The cubic root of 241768020 is about 622.9687828692.

The spelling of 241768020 in words is "two hundred forty-one million, seven hundred sixty-eight thousand, twenty".