242048000 has 176 divisors, whose sum is σ = 633554688. Its totient is φ = 92160000.

The previous prime is 242047961. The next prime is 242048029. The reversal of 242048000 is 840242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3967970 + ... + 3968030.

Almost surely, 2^242048000 is an apocalyptic number.

242048000 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 242048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316777344).

242048000 is an abundant number, since it is smaller than the sum of its proper divisors (391506688).

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

242048000 is an equidigital number, since it uses as much as digits as its factorization.

242048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242048000 is about 15557.8918880419. The cubic root of 242048000 is about 623.2091669012.

Adding to 242048000 its reverse (840242), we get a palindrome (242888242).

The spelling of 242048000 in words is "two hundred forty-two million, forty-eight thousand".