242497805806080 has 800 divisors, whose sum is σ = 947697858455040. Its totient is φ = 58775671111680.

The previous prime is 242497805806033. The next prime is 242497805806099. The reversal of 242497805806080 is 80608508794242.

242497805806080 is a `hidden beast` number, since 2 + 4 + 2 + 49 + 7 + 8 + 0 + 580 + 6 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242497805805999 and 242497805806017.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18902309106 + ... + 18902321934.

Almost surely, 2^{242497805806080} is an apocalyptic number.

242497805806080 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 242497805806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473848929227520).

242497805806080 is an abundant number, since it is smaller than the sum of its proper divisors (705200052648960).

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

242497805806080 is a wasteful number, since it uses less digits than its factorization.

242497805806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21162 (or 21137 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 242497805806080 in words is "two hundred forty-two trillion, four hundred ninety-seven billion, eight hundred five million, eight hundred six thousand, eighty".