242220511303040 has 64 divisors (see below), whose sum is σ = 579162173688720. Its totient is φ = 96870842726400.

The previous prime is 242220511303027. The next prime is 242220511303049. The reversal of 242220511303040 is 40303115022242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×242220511303040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242220511302994 and 242220511303012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242220511303049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30335126 + ... + 37478805.

Almost surely, 2^{242220511303040} is an apocalyptic number.

242220511303040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242220511303040 is an abundant number, since it is smaller than the sum of its proper divisors (336941662385680).

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

242220511303040 is an equidigital number, since it uses as much as digits as its factorization.

242220511303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67819531 (or 67819519 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 242220511303040 its reverse (40303115022242), we get a palindrome (282523626325282).

The spelling of 242220511303040 in words is "two hundred forty-two trillion, two hundred twenty billion, five hundred eleven million, three hundred three thousand, forty".