242206266600480 has 384 divisors, whose sum is σ = 939040679840256. Its totient is φ = 51101466624000.

The previous prime is 242206266600469. The next prime is 242206266600497. The reversal of 242206266600480 is 84006662602242.

It is a super-3 number, since 3×242206266600480³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2725631250 + ... + 2725720110.

It is an arithmetic number, because the mean of its divisors is an integer number (2445418437084).

Almost surely, 2^{242206266600480} is an apocalyptic number.

242206266600480 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 242206266600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469520339920128).

242206266600480 is an abundant number, since it is smaller than the sum of its proper divisors (696834413239776).

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

242206266600480 is a wasteful number, since it uses less digits than its factorization.

242206266600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151300 (or 151292 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 242206266600480 in words is "two hundred forty-two trillion, two hundred six billion, two hundred sixty-six million, six hundred thousand, four hundred eighty".