242132310 has 144 divisors (see below), whose sum is σ = 746774496. Its totient is φ = 53319168.

The previous prime is 242132299. The next prime is 242132311. The reversal of 242132310 is 13231242.

It is a super-2 number, since 2×242132310² = 117256111091872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242132311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529602 + ... + 530058.

It is an arithmetic number, because the mean of its divisors is an integer number (5185934).

Almost surely, 2^242132310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242132310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373387248).

242132310 is an abundant number, since it is smaller than the sum of its proper divisors (504642186).

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

242132310 is a wasteful number, since it uses less digits than its factorization.

242132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242132310 is about 15560.6012094649. The cubic root of 242132310 is about 623.2815171038.

Adding to 242132310 its reverse (13231242), we get a palindrome (255363552).

The spelling of 242132310 in words is "two hundred forty-two million, one hundred thirty-two thousand, three hundred ten".