242081560 has 96 divisors (see below), whose sum is σ = 655614000. Its totient is φ = 80118528.

The previous prime is 242081557. The next prime is 242081629. The reversal of 242081560 is 65180242.

242081560 = 116² + 117² + ... + 899².

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 54711 + ... + 58969.

Almost surely, 2^242081560 is an apocalyptic number.

242081560 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 242081560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327807000).

242081560 is an abundant number, since it is smaller than the sum of its proper divisors (413532440).

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

242081560 is a wasteful number, since it uses less digits than its factorization.

242081560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 242081560 is about 15558.9704029540. The cubic root of 242081560 is about 623.2379682589.

The spelling of 242081560 in words is "two hundred forty-two million, eighty-one thousand, five hundred sixty".