242067387276 has 1152 divisors, whose sum is σ = 850010112000. Its totient is φ = 58711910400.

The previous prime is 242067387251. The next prime is 242067387277. The reversal of 242067387276 is 672783760242.

It is a happy number.

242067387276 is a `hidden beast` number, since 2 + 420 + 6 + 73 + 87 + 2 + 76 = 666.

242067387276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (242067387277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2719858240 + ... + 2719858328.

It is an arithmetic number, because the mean of its divisors is an integer number (737856000).

Almost surely, 2^242067387276 is an apocalyptic number.

242067387276 is a gapful number since it is divisible by the number (26) 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 242067387276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425005056000).

242067387276 is an abundant number, since it is smaller than the sum of its proper divisors (607942724724).

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

242067387276 is a wasteful number, since it uses less digits than its factorization.

242067387276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 242067387276 in words is "two hundred forty-two billion, sixty-seven million, three hundred eighty-seven thousand, two hundred seventy-six".