242930880 has 224 divisors, whose sum is σ = 885626880. Its totient is φ = 62622720.

The previous prime is 242930869. The next prime is 242930887. The reversal of 242930880 is 88039242.

242930880 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 (36).

It is not an unprimeable number, because it can be changed into a prime (242930887) 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, 267387 + ... + 268293.

Almost surely, 2^242930880 is an apocalyptic number.

242930880 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 242930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442813440).

242930880 is an abundant number, since it is smaller than the sum of its proper divisors (642696000).

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

242930880 is a wasteful number, since it uses less digits than its factorization.

242930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 242930880 is about 15586.2400854087. The cubic root of 242930880 is about 623.9659744760.

The spelling of 242930880 in words is "two hundred forty-two million, nine hundred thirty thousand, eight hundred eighty".