242880810 has 32 divisors (see below), whose sum is σ = 583448832. Its totient is φ = 64708800.

The previous prime is 242880809. The next prime is 242880811. The reversal of 242880810 is 18088242.

It is an interprime number because it is at equal distance from previous prime (242880809) and next prime (242880811).

It is a super-2 number, since 2×242880810² = 117982175732512200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242880811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36760 + ... + 42860.

It is an arithmetic number, because the mean of its divisors is an integer number (18232776).

Almost surely, 2^242880810 is an apocalyptic number.

242880810 is an abundant number, since it is smaller than the sum of its proper divisors (340568022).

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

242880810 is a wasteful number, since it uses less digits than its factorization.

242880810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438.

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 242880810 is about 15584.6337781804. The cubic root of 242880810 is about 623.9231034023.

It can be divided in two parts, 2428 and 80810, that added together give a palindrome (83238).

The spelling of 242880810 in words is "two hundred forty-two million, eight hundred eighty thousand, eight hundred ten".