242447920561920 has 288 divisors, whose sum is σ = 815105620788480. Its totient is φ = 61247446548480.

The previous prime is 242447920561919. The next prime is 242447920561933. The reversal of 242447920561920 is 29165029744242.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 2250105487 + ... + 2250213233.

It is an arithmetic number, because the mean of its divisors is an integer number (2830227849960).

Almost surely, 2^{242447920561920} is an apocalyptic number.

242447920561920 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 242447920561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407552810394240).

242447920561920 is an abundant number, since it is smaller than the sum of its proper divisors (572657700226560).

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

242447920561920 is a wasteful number, since it uses less digits than its factorization.

242447920561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138631 (or 138617 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 242447920561920 in words is "two hundred forty-two trillion, four hundred forty-seven billion, nine hundred twenty million, five hundred sixty-one thousand, nine hundred twenty".