242867096640 has 504 divisors, whose sum is σ = 973262122560. Its totient is φ = 55426000896.

The previous prime is 242867096629. The next prime is 242867096677. The reversal of 242867096640 is 46690768242.

242867096640 is a `hidden beast` number, since 2 + 428 + 6 + 70 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150009751 + ... + 150011369.

It is an arithmetic number, because the mean of its divisors is an integer number (1931075640).

Almost surely, 2^242867096640 is an apocalyptic number.

242867096640 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 242867096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486631061280).

242867096640 is an abundant number, since it is smaller than the sum of its proper divisors (730395025920).

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

242867096640 is a wasteful number, since it uses less digits than its factorization.

242867096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 242867096640 in words is "two hundred forty-two billion, eight hundred sixty-seven million, ninety-six thousand, six hundred forty".