242101002240 has 168 divisors, whose sum is σ = 839233526508. Its totient is φ = 64560168960.

The previous prime is 242101002239. The next prime is 242101002263. The reversal of 242101002240 is 42200101242.

242101002240 is a `hidden beast` number, since 2 + 421 + 0 + 1 + 0 + 0 + 2 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 236522704896 + 5578297344 = 486336^2 + 74688^2 .

It is a super-2 number, since 2×242101002240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40270 + ... + 697010.

Almost surely, 2^242101002240 is an apocalyptic number.

242101002240 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 242101002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419616763254).

242101002240 is an abundant number, since it is smaller than the sum of its proper divisors (597132524268).

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

242101002240 is an equidigital number, since it uses as much as digits as its factorization.

242101002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656778 (or 656751 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 242101002240 its reverse (42200101242), we get a palindrome (284301103482).

It can be divided in two parts, 242101002 and 240, that added together give a palindrome (242101242).

The spelling of 242101002240 in words is "two hundred forty-two billion, one hundred one million, two thousand, two hundred forty".