241820220664624 has 240 divisors, whose sum is σ = 576245784576000. Its totient is φ = 97866410664960.

The previous prime is 241820220664567. The next prime is 241820220664651. The reversal of 241820220664624 is 426466022028142.

It is a super-2 number, since 2×241820220664624² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079447377 + ... + 1079671375.

It is an arithmetic number, because the mean of its divisors is an integer number (2401024102400).

Almost surely, 2^{241820220664624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241820220664624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288122892288000).

241820220664624 is an abundant number, since it is smaller than the sum of its proper divisors (334425563911376).

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

241820220664624 is a wasteful number, since it uses less digits than its factorization.

241820220664624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225128 (or 225115 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 49.

The spelling of 241820220664624 in words is "two hundred forty-one trillion, eight hundred twenty billion, two hundred twenty million, six hundred sixty-four thousand, six hundred twenty-four".