242584627000 has 64 divisors (see below), whose sum is σ = 567733795200. Its totient is φ = 97019190400.

The previous prime is 242584626923. The next prime is 242584627003. The reversal of 242584627000 is 726485242.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242584627003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8655009 + ... + 8682991.

It is an arithmetic number, because the mean of its divisors is an integer number (8870840550).

Almost surely, 2^242584627000 is an apocalyptic number.

242584627000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242584627000 is an abundant number, since it is smaller than the sum of its proper divisors (325149168200).

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

242584627000 is a wasteful number, since it uses less digits than its factorization.

242584627000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36673 (or 36659 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 242584627000 in words is "two hundred forty-two billion, five hundred eighty-four million, six hundred twenty-seven thousand".