241835497680 has 640 divisors, whose sum is σ = 896085504000. Its totient is φ = 53916420096.

The previous prime is 241835497679. The next prime is 241835497681. The reversal of 241835497680 is 86794538142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (241835497679) and next prime (241835497681).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 241835497680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241835497681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 899016586 + ... + 899016854.

It is an arithmetic number, because the mean of its divisors is an integer number (1400133600).

It is a 1-persistent number, because it is pandigital, but 2⋅241835497680 = 483670995360 is not.

Almost surely, 2^241835497680 is an apocalyptic number.

241835497680 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 241835497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448042752000).

241835497680 is an abundant number, since it is smaller than the sum of its proper divisors (654250006320).

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

241835497680 is a wasteful number, since it uses less digits than its factorization.

241835497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 241835497680 in words is "two hundred forty-one billion, eight hundred thirty-five million, four hundred ninety-seven thousand, six hundred eighty".