242901910944 has 1080 divisors, whose sum is σ = 939044316672. Its totient is φ = 60902876160.

The previous prime is 242901910943. The next prime is 242901910949. The reversal of 242901910944 is 449019109242.

It is a happy number.

It is a super-2 number, since 2×242901910944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242901910944.

It is not an unprimeable number, because it can be changed into a prime (242901910943) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1912613409 + ... + 1912613535.

Almost surely, 2^242901910944 is an apocalyptic number.

242901910944 is a gapful number since it is divisible by the number (24) 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 242901910944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469522158336).

242901910944 is an abundant number, since it is smaller than the sum of its proper divisors (696142405728).

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

242901910944 is a wasteful number, since it uses less digits than its factorization.

242901910944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 242901910944 in words is "two hundred forty-two billion, nine hundred one million, nine hundred ten thousand, nine hundred forty-four".