242883748800 has 3024 divisors, whose sum is σ = 1215470954880. Its totient is φ = 47029248000.

The previous prime is 242883748799. The next prime is 242883748829. The reversal of 242883748800 is 8847388242.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×242883748800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3981700770 + ... + 3981700830.

Almost surely, 2^242883748800 is an apocalyptic number.

242883748800 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 242883748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607735477440).

242883748800 is an abundant number, since it is smaller than the sum of its proper divisors (972587206080).

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

242883748800 is a wasteful number, since it uses less digits than its factorization.

242883748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 242883748800 in words is "two hundred forty-two billion, eight hundred eighty-three million, seven hundred forty-eight thousand, eight hundred".