242711640 has 160 divisors (see below), whose sum is σ = 851510880. Its totient is φ = 61890048.

The previous prime is 242711627. The next prime is 242711647. The reversal of 242711640 is 46117242.

242711640 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 11 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242711647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72892 + ... + 76148.

It is an arithmetic number, because the mean of its divisors is an integer number (5321943).

Almost surely, 2^242711640 is an apocalyptic number.

242711640 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 242711640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425755440).

242711640 is an abundant number, since it is smaller than the sum of its proper divisors (608799240).

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

242711640 is a wasteful number, since it uses less digits than its factorization.

242711640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 242711640 is about 15579.2053712633. The cubic root of 242711640 is about 623.7782125999.

Adding to 242711640 its reverse (46117242), we get a palindrome (288828882).

The spelling of 242711640 in words is "two hundred forty-two million, seven hundred eleven thousand, six hundred forty".