242627824320 has 896 divisors, whose sum is σ = 982938157056. Its totient is φ = 49402281984.

The previous prime is 242627824289. The next prime is 242627824381. The reversal of 242627824320 is 23428726242.

It is a super-2 number, since 2×242627824320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281144209 + ... + 281145071.

Almost surely, 2^242627824320 is an apocalyptic number.

242627824320 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 242627824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491469078528).

242627824320 is an abundant number, since it is smaller than the sum of its proper divisors (740310332736).

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

242627824320 is a wasteful number, since it uses less digits than its factorization.

242627824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 242627824320 in words is "two hundred forty-two billion, six hundred twenty-seven million, eight hundred twenty-four thousand, three hundred twenty".