242601397248 has 352 divisors, whose sum is σ = 788940656640. Its totient is φ = 64733921280.

The previous prime is 242601397211. The next prime is 242601397261. The reversal of 242601397248 is 842793106242.

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

It is a junction number, because it is equal to n+sod(n) for n = 242601397197 and 242601397206.

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, 29004715 + ... + 29013077.

Almost surely, 2^242601397248 is an apocalyptic number.

242601397248 is a gapful number since it is divisible by the number (28) 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 242601397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394470328320).

242601397248 is an abundant number, since it is smaller than the sum of its proper divisors (546339259392).

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

242601397248 is a wasteful number, since it uses less digits than its factorization.

242601397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 242601397248 in words is "two hundred forty-two billion, six hundred one million, three hundred ninety-seven thousand, two hundred forty-eight".