241971840 has 512 divisors, whose sum is σ = 998784000. Its totient is φ = 54743040.

The previous prime is 241971767. The next prime is 241971887. The reversal of 241971840 is 48179142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241971795 and 241971804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3611487 + ... + 3611553.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^241971840 is an apocalyptic number.

241971840 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 241971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499392000).

241971840 is an abundant number, since it is smaller than the sum of its proper divisors (756812160).

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

241971840 is a wasteful number, since it uses less digits than its factorization.

241971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 241971840 is about 15555.4440630925. Note that the first 3 decimals coincide. The cubic root of 241971840 is about 623.1437961357.

The spelling of 241971840 in words is "two hundred forty-one million, nine hundred seventy-one thousand, eight hundred forty".