242020891392 has 288 divisors, whose sum is σ = 746045217792. Its totient is φ = 68223762432.

The previous prime is 242020891381. The next prime is 242020891423. The reversal of 242020891392 is 293198020242.

It is a super-2 number, since 2×242020891392² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253956388 + ... + 253957340.

It is an arithmetic number, because the mean of its divisors is an integer number (2590434784).

Almost surely, 2^242020891392 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 242020891392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373022608896).

242020891392 is an abundant number, since it is smaller than the sum of its proper divisors (504024326400).

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

242020891392 is an equidigital number, since it uses as much as digits as its factorization.

242020891392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 242020891392 in words is "two hundred forty-two billion, twenty million, eight hundred ninety-one thousand, three hundred ninety-two".