242968380 has 96 divisors (see below), whose sum is σ = 718986240. Its totient is φ = 61205760.

The previous prime is 242968379. The next prime is 242968387. The reversal of 242968380 is 83869242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242968387) 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, 80295 + ... + 83265.

It is an arithmetic number, because the mean of its divisors is an integer number (7489440).

Almost surely, 2^242968380 is an apocalyptic number.

242968380 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 242968380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359493120).

242968380 is an abundant number, since it is smaller than the sum of its proper divisors (476017860).

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

242968380 is a wasteful number, since it uses less digits than its factorization.

242968380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 242968380 is about 15587.4430231517. The cubic root of 242968380 is about 623.9980789717.

The spelling of 242968380 in words is "two hundred forty-two million, nine hundred sixty-eight thousand, three hundred eighty".