242595514560 has 224 divisors, whose sum is σ = 908671905792. Its totient is φ = 53661634560.

The previous prime is 242595514547. The next prime is 242595514561. The reversal of 242595514560 is 65415595242.

242595514560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (242595514561) 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, 373947 + ... + 790586.

It is an arithmetic number, because the mean of its divisors is an integer number (4056571008).

Almost surely, 2^242595514560 is an apocalyptic number.

242595514560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242595514560 is an abundant number, since it is smaller than the sum of its proper divisors (666076391232).

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

242595514560 is a wasteful number, since it uses less digits than its factorization.

242595514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164591 (or 1164581 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 242595514560 in words is "two hundred forty-two billion, five hundred ninety-five million, five hundred fourteen thousand, five hundred sixty".