242040960 has 640 divisors, whose sum is σ = 1066348800. Its totient is φ = 51093504.

The previous prime is 242040947. The next prime is 242040961. The reversal of 242040960 is 69040242.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242040961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8346226 + ... + 8346254.

It is an arithmetic number, because the mean of its divisors is an integer number (1666170).

Almost surely, 2^242040960 is an apocalyptic number.

242040960 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 242040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533174400).

242040960 is an abundant number, since it is smaller than the sum of its proper divisors (824307840).

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

242040960 is a wasteful number, since it uses less digits than its factorization.

242040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242040960 is about 15557.6656346638. The cubic root of 242040960 is about 623.2031248007.

The spelling of 242040960 in words is "two hundred forty-two million, forty thousand, nine hundred sixty".