242136510 has 128 divisors (see below), whose sum is σ = 744367104. Its totient is φ = 48936960.

The previous prime is 242136463. The next prime is 242136533. The reversal of 242136510 is 15631242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84054 + ... + 86886.

It is an arithmetic number, because the mean of its divisors is an integer number (5815368).

Almost surely, 2^242136510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242136510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372183552).

242136510 is an abundant number, since it is smaller than the sum of its proper divisors (502230594).

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

242136510 is a wasteful number, since it uses less digits than its factorization.

242136510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 242136510 is about 15560.7361651048. The cubic root of 242136510 is about 623.2851208735.

Adding to 242136510 its reverse (15631242), we get a palindrome (257767752).

The spelling of 242136510 in words is "two hundred forty-two million, one hundred thirty-six thousand, five hundred ten".