241962240 has 288 divisors, whose sum is σ = 861227136. Its totient is φ = 57507840.

The previous prime is 241962239. The next prime is 241962257. The reversal of 241962240 is 42269142.

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

It is a junction number, because it is equal to n+sod(n) for n = 241962198 and 241962207.

It is a congruent number.

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, 1846975 + ... + 1847105.

It is an arithmetic number, because the mean of its divisors is an integer number (2990372).

Almost surely, 2^241962240 is an apocalyptic number.

241962240 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 241962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430613568).

241962240 is an abundant number, since it is smaller than the sum of its proper divisors (619264896).

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

241962240 is a wasteful number, since it uses less digits than its factorization.

241962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 241962240 is about 15555.1354863916. The cubic root of 241962240 is about 623.1355551498.

The spelling of 241962240 in words is "two hundred forty-one million, nine hundred sixty-two thousand, two hundred forty".