242577382320 has 960 divisors, whose sum is σ = 1042019806464. Its totient is φ = 49209016320.

The previous prime is 242577382301. The next prime is 242577382357. The reversal of 242577382320 is 23283775242.

242577382320 is a `hidden beast` number, since 2 + 4 + 2 + 577 + 38 + 23 + 20 = 666.

242577382320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 196100742 + ... + 196101978.

Almost surely, 2^242577382320 is an apocalyptic number.

242577382320 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 242577382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521009903232).

242577382320 is an abundant number, since it is smaller than the sum of its proper divisors (799442424144).

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

242577382320 is a wasteful number, since it uses less digits than its factorization.

242577382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 242577382320 in words is "two hundred forty-two billion, five hundred seventy-seven million, three hundred eighty-two thousand, three hundred twenty".