242484808826880 has 480 divisors, whose sum is σ = 862428614369280. Its totient is φ = 64641112473600.

The previous prime is 242484808826783. The next prime is 242484808826899. The reversal of 242484808826880 is 88628808484242.

242484808826880 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 8 + 480 + 8 + 8 + 2 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 242484808826799 and 242484808826808.

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, 7314538305 + ... + 7314571455.

It is an arithmetic number, because the mean of its divisors is an integer number (1796726279936).

Almost surely, 2^{242484808826880} is an apocalyptic number.

242484808826880 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 242484808826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431214307184640).

242484808826880 is an abundant number, since it is smaller than the sum of its proper divisors (619943805542400).

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

242484808826880 is an equidigital number, since it uses as much as digits as its factorization.

242484808826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36500 (or 36468 counting only the distinct ones).

The product of its (nonzero) digits is 805306368, while the sum is 72.

The spelling of 242484808826880 in words is "two hundred forty-two trillion, four hundred eighty-four billion, eight hundred eight million, eight hundred twenty-six thousand, eight hundred eighty".