242693520 has 80 divisors (see below), whose sum is σ = 753916032. Its totient is φ = 64583680.

The previous prime is 242693509. The next prime is 242693531. The reversal of 242693520 is 25396242.

It is an interprime number because it is at equal distance from previous prime (242693509) and next prime (242693531).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177640 + ... + 179000.

Almost surely, 2^242693520 is an apocalyptic number.

242693520 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 242693520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376958016).

242693520 is an abundant number, since it is smaller than the sum of its proper divisors (511222512).

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

242693520 is a wasteful number, since it uses less digits than its factorization.

242693520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 242693520 is about 15578.6238159858. The cubic root of 242693520 is about 623.7626891822.

The spelling of 242693520 in words is "two hundred forty-two million, six hundred ninety-three thousand, five hundred twenty".