241367040 has 288 divisors, whose sum is σ = 876461040. Its totient is φ = 63700992.

The previous prime is 241367039. The next prime is 241367059. The reversal of 241367040 is 40763142.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 241366995 and 241367013.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2488272 + ... + 2488368.

Almost surely, 2^241367040 is an apocalyptic number.

241367040 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 241367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438230520).

241367040 is an abundant number, since it is smaller than the sum of its proper divisors (635094000).

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

241367040 is an frugal number, since it uses more digits than its factorization.

241367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 241367040 is about 15535.9917610689. The cubic root of 241367040 is about 622.6241877358.

The spelling of 241367040 in words is "two hundred forty-one million, three hundred sixty-seven thousand, forty".