242949456000 has 1024 divisors, whose sum is σ = 930050035200. Its totient is φ = 63078912000.

The previous prime is 242949455971. The next prime is 242949456047. The reversal of 242949456000 is 654949242.

242949456000 is a `hidden beast` number, since 2 + 42 + 9 + 49 + 4 + 560 + 0 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 1854575935 + ... + 1854576065.

Almost surely, 2^242949456000 is an apocalyptic number.

242949456000 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 242949456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465025017600).

242949456000 is an abundant number, since it is smaller than the sum of its proper divisors (687100579200).

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

242949456000 is an frugal number, since it uses more digits than its factorization.

242949456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 242949456000 in words is "two hundred forty-two billion, nine hundred forty-nine million, four hundred fifty-six thousand".