242926892208 has 960 divisors, whose sum is σ = 955024588800. Its totient is φ = 57401809920.

The previous prime is 242926892189. The next prime is 242926892249. The reversal of 242926892208 is 802298629242.

It is a happy number.

242926892208 is a `hidden beast` number, since 2 + 4 + 292 + 68 + 92 + 208 = 666.

It is a super-2 number, since 2×242926892208² (a number of 24 digits) contains 22 as substring.

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

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, 444107391 + ... + 444107937.

It is an arithmetic number, because the mean of its divisors is an integer number (994817280).

Almost surely, 2^242926892208 is an apocalyptic number.

242926892208 is a gapful number since it is divisible by the number (28) 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 242926892208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477512294400).

242926892208 is an abundant number, since it is smaller than the sum of its proper divisors (712097696592).

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

242926892208 is a wasteful number, since it uses less digits than its factorization.

242926892208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 242926892208 in words is "two hundred forty-two billion, nine hundred twenty-six million, eight hundred ninety-two thousand, two hundred eight".