241874640 has 320 divisors, whose sum is σ = 1009221120. Its totient is φ = 51978240.

The previous prime is 241874639. The next prime is 241874651. The reversal of 241874640 is 46478142.

241874640 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 7 + 4 + 640 = 666.

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 = 241874595 and 241874604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256570 + ... + 257510.

It is an arithmetic number, because the mean of its divisors is an integer number (3153816).

Almost surely, 2^241874640 is an apocalyptic number.

241874640 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 241874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504610560).

241874640 is an abundant number, since it is smaller than the sum of its proper divisors (767346480).

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

241874640 is a wasteful number, since it uses less digits than its factorization.

241874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 241874640 is about 15552.3194411638. The cubic root of 241874640 is about 623.0603460821.

The spelling of 241874640 in words is "two hundred forty-one million, eight hundred seventy-four thousand, six hundred forty".