242477426880 has 1120 divisors, whose sum is σ = 971528785920. Its totient is φ = 57002434560.

The previous prime is 242477426879. The next prime is 242477426899. The reversal of 242477426880 is 88624774242.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1451960557 + ... + 1451960723.

It is an arithmetic number, because the mean of its divisors is an integer number (867436416).

Almost surely, 2^242477426880 is an apocalyptic number.

242477426880 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 242477426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485764392960).

242477426880 is an abundant number, since it is smaller than the sum of its proper divisors (729051359040).

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

242477426880 is a wasteful number, since it uses less digits than its factorization.

242477426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 242477426880 in words is "two hundred forty-two billion, four hundred seventy-seven million, four hundred twenty-six thousand, eight hundred eighty".