242356080 has 160 divisors (see below), whose sum is σ = 802234368. Its totient is φ = 60313600.

The previous prime is 242356021. The next prime is 242356087. The reversal of 242356080 is 80653242.

242356080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242356087) 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, 779125 + ... + 779435.

Almost surely, 2^242356080 is an apocalyptic number.

242356080 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 242356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401117184).

242356080 is an abundant number, since it is smaller than the sum of its proper divisors (559878288).

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

242356080 is a wasteful number, since it uses less digits than its factorization.

242356080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

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

The square root of 242356080 is about 15567.7898238639. The cubic root of 242356080 is about 623.4734627969.

The spelling of 242356080 in words is "two hundred forty-two million, three hundred fifty-six thousand, eighty".