242693628800 has 384 divisors, whose sum is σ = 716344776000. Its totient is φ = 81164697600.

The previous prime is 242693628791. The next prime is 242693628811. The reversal of 242693628800 is 8826396242.

It is a super-2 number, since 2×242693628800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44998904 + ... + 45004296.

Almost surely, 2^242693628800 is an apocalyptic number.

242693628800 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 242693628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358172388000).

242693628800 is an abundant number, since it is smaller than the sum of its proper divisors (473651147200).

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

242693628800 is an equidigital number, since it uses as much as digits as its factorization.

242693628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 242693628800 in words is "two hundred forty-two billion, six hundred ninety-three million, six hundred twenty-eight thousand, eight hundred".