242717040 has 160 divisors (see below), whose sum is σ = 858903360. Its totient is φ = 62954496.

The previous prime is 242717021. The next prime is 242717053. The reversal of 242717040 is 40717242.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 242716995 and 242717013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78402 + ... + 81438.

It is an arithmetic number, because the mean of its divisors is an integer number (5368146).

Almost surely, 2^242717040 is an apocalyptic number.

242717040 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 242717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429451680).

242717040 is an abundant number, since it is smaller than the sum of its proper divisors (616186320).

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

242717040 is a wasteful number, since it uses less digits than its factorization.

242717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 242717040 is about 15579.3786782400. The cubic root of 242717040 is about 623.7828386345.

The spelling of 242717040 in words is "two hundred forty-two million, seven hundred seventeen thousand, forty".