242553640 has 64 divisors (see below), whose sum is σ = 626117760. Its totient is φ = 82840320.

The previous prime is 242553631. The next prime is 242553643. The reversal of 242553640 is 46355242.

It is not an unprimeable number, because it can be changed into a prime (242553643) 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, 77710 + ... + 80770.

It is an arithmetic number, because the mean of its divisors is an integer number (9783090).

Almost surely, 2^242553640 is an apocalyptic number.

242553640 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 242553640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313058880).

242553640 is an abundant number, since it is smaller than the sum of its proper divisors (383564120).

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

242553640 is a wasteful number, since it uses less digits than its factorization.

242553640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 242553640 is about 15574.1336837719. The cubic root of 242553640 is about 623.6428278672.

It can be divided in two parts, 2425 and 53640, that added together give a palindrome (56065).

The spelling of 242553640 in words is "two hundred forty-two million, five hundred fifty-three thousand, six hundred forty".