242106624 has 72 divisors (see below), whose sum is σ = 715972320. Its totient is φ = 80699904.

The previous prime is 242106619. The next prime is 242106649. The reversal of 242106624 is 426601242.

242106624 is a `hidden beast` number, since 24 + 2 + 10 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10602 + ... + 24425.

It is an arithmetic number, because the mean of its divisors is an integer number (9944060).

Almost surely, 2^242106624 is an apocalyptic number.

242106624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242106624 is an abundant number, since it is smaller than the sum of its proper divisors (473865696).

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

242106624 is an equidigital number, since it uses as much as digits as its factorization.

242106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35052 (or 35032 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242106624 is about 15559.7758338608. The cubic root of 242106624 is about 623.2594765712.

Adding to 242106624 its reverse (426601242), we get a palindrome (668707866).

The spelling of 242106624 in words is "two hundred forty-two million, one hundred six thousand, six hundred twenty-four".