242398358800 has 60 divisors (see below), whose sum is σ = 627159151780. Its totient is φ = 89500930560.

The previous prime is 242398358753. The next prime is 242398358801. The reversal of 242398358800 is 8853893242.

It can be written as a sum of positive squares in 6 ways, for example, as 102225993984 + 140172364816 = 319728^2 + 374396^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (242398358801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23302335 + ... + 23312734.

Almost surely, 2^242398358800 is an apocalyptic number.

242398358800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242398358800 is an abundant number, since it is smaller than the sum of its proper divisors (384760792980).

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

242398358800 is a wasteful number, since it uses less digits than its factorization.

242398358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46615100 (or 46615089 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 242398358800 in words is "two hundred forty-two billion, three hundred ninety-eight million, three hundred fifty-eight thousand, eight hundred".