242997310080 has 384 divisors, whose sum is σ = 967786934400. Its totient is φ = 55031685120.

The previous prime is 242997310069. The next prime is 242997310099. The reversal of 242997310080 is 80013799242.

242997310080 is a `hidden beast` number, since 242 + 9 + 97 + 310 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×242997310080² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4367235 + ... + 4422525.

It is an arithmetic number, because the mean of its divisors is an integer number (2520278475).

Almost surely, 2^242997310080 is an apocalyptic number.

242997310080 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 242997310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483893467200).

242997310080 is an abundant number, since it is smaller than the sum of its proper divisors (724789624320).

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

242997310080 is a wasteful number, since it uses less digits than its factorization.

242997310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55432 (or 55417 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 242997310080 in words is "two hundred forty-two billion, nine hundred ninety-seven million, three hundred ten thousand, eighty".