242653104 has 320 divisors, whose sum is σ = 814233600. Its totient is φ = 68677632.

The previous prime is 242653093. The next prime is 242653111. The reversal of 242653104 is 401356242.

242653104 is a `hidden beast` number, since 2 + 4 + 2 + 653 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5162809 + ... + 5162855.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^242653104 is an apocalyptic number.

242653104 is a gapful number since it is divisible by the number (24) 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 242653104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

242653104 is an abundant number, since it is smaller than the sum of its proper divisors (571580496).

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

242653104 is a wasteful number, since it uses less digits than its factorization.

242653104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 242653104 is about 15577.3265999015. The cubic root of 242653104 is about 623.7280619805.

The spelling of 242653104 in words is "two hundred forty-two million, six hundred fifty-three thousand, one hundred four".