242615225502720 has 2112 divisors, whose sum is σ = 1024563386695680. Its totient is φ = 51851683823616.

The previous prime is 242615225502709. The next prime is 242615225502743. The reversal of 242615225502720 is 27205522516242.

242615225502720 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 1 + 5 + 22 + 550 + 2 + 72 + 0 = 666.

It is a super-4 number, since 4×242615225502720⁴ (a number of 59 digits) contains 4444 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294793712229 + ... + 294793713051.

Almost surely, 2^{242615225502720} is an apocalyptic number.

242615225502720 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 242615225502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512281693347840).

242615225502720 is an abundant number, since it is smaller than the sum of its proper divisors (781948161192960).

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

242615225502720 is a wasteful number, since it uses less digits than its factorization.

242615225502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 242615225502720 in words is "two hundred forty-two trillion, six hundred fifteen billion, two hundred twenty-five million, five hundred two thousand, seven hundred twenty".