242073978240 has 384 divisors, whose sum is σ = 804247535520. Its totient is φ = 61929226240.

The previous prime is 242073978199. The next prime is 242073978287. The reversal of 242073978240 is 42879370242.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 242073978240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318099460 + ... + 318100220.

Almost surely, 2^242073978240 is an apocalyptic number.

242073978240 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 242073978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402123767760).

242073978240 is an abundant number, since it is smaller than the sum of its proper divisors (562173557280).

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

242073978240 is a wasteful number, since it uses less digits than its factorization.

242073978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 242073978240 in words is "two hundred forty-two billion, seventy-three million, nine hundred seventy-eight thousand, two hundred forty".