242514840 has 96 divisors (see below), whose sum is σ = 745539120. Its totient is φ = 63108864.

The previous prime is 242514821. The next prime is 242514851. The reversal of 242514840 is 48415242.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 242514798 and 242514807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221334 + ... + 222426.

Almost surely, 2^242514840 is an apocalyptic number.

242514840 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 242514840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372769560).

242514840 is an abundant number, since it is smaller than the sum of its proper divisors (503024280).

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

242514840 is a wasteful number, since it uses less digits than its factorization.

242514840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 242514840 is about 15572.8879787919. The cubic root of 242514840 is about 623.6095724987.

The spelling of 242514840 in words is "two hundred forty-two million, five hundred fourteen thousand, eight hundred forty".