242040000 has 140 divisors (see below), whose sum is σ = 800637464. Its totient is φ = 64512000.

The previous prime is 242039969. The next prime is 242040023. The reversal of 242040000 is 40242.

242040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118992 + ... + 121008.

Almost surely, 2^242040000 is an apocalyptic number.

242040000 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 242040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400318732).

242040000 is an abundant number, since it is smaller than the sum of its proper divisors (558597464).

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

242040000 is an equidigital number, since it uses as much as digits as its factorization.

242040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 242040000 is about 15557.6347816755. The cubic root of 242040000 is about 623.2023008688.

Adding to 242040000 its reverse (40242), we get a palindrome (242080242).

The spelling of 242040000 in words is "two hundred forty-two million, forty thousand".