242252881920 has 1568 divisors, whose sum is σ = 1065801962880. Its totient is φ = 51597803520.

The previous prime is 242252881873. The next prime is 242252881961. The reversal of 242252881920 is 29188252242.

242252881920 is a `hidden beast` number, since 2 + 4 + 22 + 528 + 81 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3971358690 + ... + 3971358750.

Almost surely, 2^242252881920 is an apocalyptic number.

242252881920 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 242252881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532900981440).

242252881920 is an abundant number, since it is smaller than the sum of its proper divisors (823549080960).

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

242252881920 is an frugal number, since it uses more digits than its factorization.

242252881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 242252881920 in words is "two hundred forty-two billion, two hundred fifty-two million, eight hundred eighty-one thousand, nine hundred twenty".