242653260 has 96 divisors (see below), whose sum is σ = 693266112. Its totient is φ = 63406080.

The previous prime is 242653247. The next prime is 242653261. The reversal of 242653260 is 62356242.

242653260 is digitally balanced in base 2 and base 3, because in such bases 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 (30).

It is not an unprimeable number, because it can be changed into a prime (242653261) 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, 1006740 + ... + 1006980.

It is an arithmetic number, because the mean of its divisors is an integer number (7221522).

Almost surely, 2^242653260 is an apocalyptic number.

242653260 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 242653260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346633056).

242653260 is an abundant number, since it is smaller than the sum of its proper divisors (450612852).

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

242653260 is a wasteful number, since it uses less digits than its factorization.

242653260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 242653260 is about 15577.3316071784. The cubic root of 242653260 is about 623.7281956440.

The spelling of 242653260 in words is "two hundred forty-two million, six hundred fifty-three thousand, two hundred sixty".