242101882515584 has 384 divisors, whose sum is σ = 623844730252800. Its totient is φ = 92666430259200.

The previous prime is 242101882515473. The next prime is 242101882515599. The reversal of 242101882515584 is 485515288101242.

It is a super-2 number, since 2×242101882515584² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 16381471907 + ... + 16381486685.

It is an arithmetic number, because the mean of its divisors is an integer number (1624595651700).

Almost surely, 2^{242101882515584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242101882515584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311922365126400).

242101882515584 is an abundant number, since it is smaller than the sum of its proper divisors (381742847737216).

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

242101882515584 is a wasteful number, since it uses less digits than its factorization.

242101882515584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21332 (or 21313 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 56.

The spelling of 242101882515584 in words is "two hundred forty-two trillion, one hundred one billion, eight hundred eighty-two million, five hundred fifteen thousand, five hundred eighty-four".