242898816000 has 352 divisors, whose sum is σ = 810801830592. Its totient is φ = 64546406400.

The previous prime is 242898815977. The next prime is 242898816007. The reversal of 242898816000 is 618898242.

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

It is not an unprimeable number, because it can be changed into a prime (242898816007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129407062 + ... + 129408938.

Almost surely, 2^242898816000 is an apocalyptic number.

242898816000 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 242898816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405400915296).

242898816000 is an abundant number, since it is smaller than the sum of its proper divisors (567903014592).

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

242898816000 is a wasteful number, since it uses less digits than its factorization.

242898816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 242898816000 in words is "two hundred forty-two billion, eight hundred ninety-eight million, eight hundred sixteen thousand".