242063640 has 320 divisors, whose sum is σ = 1002576960. Its totient is φ = 51010560.

The previous prime is 242063621. The next prime is 242063671. The reversal of 242063640 is 46360242.

242063640 is a `hidden beast` number, since 2 + 4 + 20 + 636 + 4 + 0 = 666.

242063640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294430 + ... + 295250.

It is an arithmetic number, because the mean of its divisors is an integer number (3133053).

Almost surely, 2^242063640 is an apocalyptic number.

242063640 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 242063640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501288480).

242063640 is an abundant number, since it is smaller than the sum of its proper divisors (760513320).

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

242063640 is a wasteful number, since it uses less digits than its factorization.

242063640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 242063640 is about 15558.3945187156. The cubic root of 242063640 is about 623.2225895577. Note that the first 3 decimals are identical.

The spelling of 242063640 in words is "two hundred forty-two million, sixty-three thousand, six hundred forty".