242520000 has 280 divisors, whose sum is σ = 837931776. Its totient is φ = 61824000.

The previous prime is 242519951. The next prime is 242520001. The reversal of 242520000 is 25242.

242520000 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242520001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5159977 + ... + 5160023.

Almost surely, 2^242520000 is an apocalyptic number.

242520000 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 242520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418965888).

242520000 is an abundant number, since it is smaller than the sum of its proper divisors (595411776).

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

242520000 is an equidigital number, since it uses as much as digits as its factorization.

242520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 242520000 is about 15573.0536504566. The cubic root of 242520000 is about 623.6139953244.

Adding to 242520000 its reverse (25242), we get a palindrome (242545242).

The spelling of 242520000 in words is "two hundred forty-two million, five hundred twenty thousand".