242902160287920 has 1600 divisors, whose sum is σ = 1023267979514880. Its totient is φ = 52382090133504.

The previous prime is 242902160287847. The next prime is 242902160287921. The reversal of 242902160287920 is 29782061209242.

242902160287920 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 0 + 2 + 1 + 602 + 8 + 7 + 9 + 20 = 666.

242902160287920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242902160287920³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242902160287921) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53822767584 + ... + 53822772096.

Almost surely, 2^{242902160287920} is an apocalyptic number.

242902160287920 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 242902160287920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511633989757440).

242902160287920 is an abundant number, since it is smaller than the sum of its proper divisors (780365819226960).

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

242902160287920 is an equidigital number, since it uses as much as digits as its factorization.

242902160287920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 242902160287920 in words is "two hundred forty-two trillion, nine hundred two billion, one hundred sixty million, two hundred eighty-seven thousand, nine hundred twenty".