242665140 has 96 divisors (see below), whose sum is σ = 729509760. Its totient is φ = 60051456.

The previous prime is 242665133. The next prime is 242665147. The reversal of 242665140 is 41566242.

It is an interprime number because it is at equal distance from previous prime (242665133) and next prime (242665147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242665098 and 242665107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242665147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72831 + ... + 76089.

It is an arithmetic number, because the mean of its divisors is an integer number (7599060).

Almost surely, 2^242665140 is an apocalyptic number.

242665140 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 242665140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364754880).

242665140 is an abundant number, since it is smaller than the sum of its proper divisors (486844620).

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

242665140 is a wasteful number, since it uses less digits than its factorization.

242665140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 242665140 is about 15577.7129258438. The cubic root of 242665140 is about 623.7383744619.

The spelling of 242665140 in words is "two hundred forty-two million, six hundred sixty-five thousand, one hundred forty".