242153043000 has 512 divisors, whose sum is σ = 870488985600. Its totient is φ = 55427904000.

The previous prime is 242153042983. The next prime is 242153043007. The reversal of 242153043000 is 340351242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242153043007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 292808587 + ... + 292809413.

It is an arithmetic number, because the mean of its divisors is an integer number (1700173800).

Almost surely, 2^242153043000 is an apocalyptic number.

242153043000 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 242153043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435244492800).

242153043000 is an abundant number, since it is smaller than the sum of its proper divisors (628335942600).

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

242153043000 is a wasteful number, since it uses less digits than its factorization.

242153043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 242153043000 its reverse (340351242), we get a palindrome (242493394242).

The spelling of 242153043000 in words is "two hundred forty-two billion, one hundred fifty-three million, forty-three thousand".