242913777120 has 480 divisors, whose sum is σ = 980985696768. Its totient is φ = 55453289472.

The previous prime is 242913777107. The next prime is 242913777131. The reversal of 242913777120 is 21777319242.

242913777120 is a `hidden beast` number, since 2 + 429 + 1 + 37 + 77 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×242913777120² (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 a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 116392717 + ... + 116394803.

Almost surely, 2^242913777120 is an apocalyptic number.

242913777120 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 242913777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490492848384).

242913777120 is an abundant number, since it is smaller than the sum of its proper divisors (738071919648).

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

242913777120 is a wasteful number, since it uses less digits than its factorization.

242913777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 242913777120 in words is "two hundred forty-two billion, nine hundred thirteen million, seven hundred seventy-seven thousand, one hundred twenty".