242720509356 has 144 divisors (see below), whose sum is σ = 675708808320. Its totient is φ = 73001710080.

The previous prime is 242720509313. The next prime is 242720509429. The reversal of 242720509356 is 653905027242.

242720509356 is a `hidden beast` number, since 2 + 42 + 72 + 0 + 509 + 35 + 6 = 666.

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, 6703830 + ... + 6739938.

It is an arithmetic number, because the mean of its divisors is an integer number (4692422280).

Almost surely, 2^242720509356 is an apocalyptic number.

242720509356 is a gapful number since it is divisible by the number (26) 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 242720509356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337854404160).

242720509356 is an abundant number, since it is smaller than the sum of its proper divisors (432988298964).

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

242720509356 is a wasteful number, since it uses less digits than its factorization.

242720509356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36456 (or 36451 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 242720509356 in words is "two hundred forty-two billion, seven hundred twenty million, five hundred nine thousand, three hundred fifty-six".