241981320 has 128 divisors (see below), whose sum is σ = 833495040. Its totient is φ = 55054080.

The previous prime is 241981309. The next prime is 241981331. The reversal of 241981320 is 23189142.

241981320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241981309) and next prime (241981331).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227109 + ... + 228171.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2^241981320 is an apocalyptic number.

241981320 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 241981320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416747520).

241981320 is an abundant number, since it is smaller than the sum of its proper divisors (591513720).

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

241981320 is a wasteful number, since it uses less digits than its factorization.

241981320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 241981320 is about 15555.7487765777. The cubic root of 241981320 is about 623.1519338954.

The spelling of 241981320 in words is "two hundred forty-one million, nine hundred eighty-one thousand, three hundred twenty".