242646066 has 96 divisors (see below), whose sum is σ = 604579248. Its totient is φ = 69672960.

The previous prime is 242646059. The next prime is 242646097. The reversal of 242646066 is 660646242.

242646066 is a `hidden beast` number, since 2 + 4 + 2 + 646 + 0 + 6 + 6 = 666.

242646066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18275625 + 224370441 = 4275^2 + 14979^2 .

It is a super-2 number, since 2×242646066² = 117754226690552712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242646066.

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, 719850 + ... + 720186.

Almost surely, 2^242646066 is an apocalyptic number.

242646066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242646066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302289624).

242646066 is an abundant number, since it is smaller than the sum of its proper divisors (361933182).

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

242646066 is a wasteful number, since it uses less digits than its factorization.

242646066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 242646066 is about 15577.1006930045. The cubic root of 242646066 is about 623.7220316427.

It can be divided in two parts, 24264 and 6066, that multiplied together give a square (147185424 = 12132²).

The spelling of 242646066 in words is "two hundred forty-two million, six hundred forty-six thousand, sixty-six".