242404366276512 has 72 divisors (see below), whose sum is σ = 752004454481280. Its totient is φ = 73455868567680.

The previous prime is 242404366276487. The next prime is 242404366276547. The reversal of 242404366276512 is 215672663404242.

242404366276512 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 0 + 4 + 3 + 6 + 627 + 6 + 5 + 1 + 2 = 666.

242404366276512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×242404366276512² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38258261712 + ... + 38258268047.

It is an arithmetic number, because the mean of its divisors is an integer number (10444506312240).

Almost surely, 2^{242404366276512} is an apocalyptic number.

242404366276512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242404366276512 is an abundant number, since it is smaller than the sum of its proper divisors (509600088204768).

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

242404366276512 is a wasteful number, since it uses less digits than its factorization.

242404366276512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76516529786 (or 76516529775 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 242404366276512 in words is "two hundred forty-two trillion, four hundred four billion, three hundred sixty-six million, two hundred seventy-six thousand, five hundred twelve".