242066653040 has 320 divisors, whose sum is σ = 621285949440. Its totient is φ = 87401825280.

The previous prime is 242066653039. The next prime is 242066653057. The reversal of 242066653040 is 40356660242.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 242066652985 and 242066653003.

It is a congruent number.

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, 493007195 + ... + 493007685.

It is an arithmetic number, because the mean of its divisors is an integer number (1941518592).

Almost surely, 2^242066653040 is an apocalyptic number.

242066653040 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 242066653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310642974720).

242066653040 is an abundant number, since it is smaller than the sum of its proper divisors (379219296400).

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

242066653040 is a wasteful number, since it uses less digits than its factorization.

242066653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 242066653040 in words is "two hundred forty-two billion, sixty-six million, six hundred fifty-three thousand, forty".