242215510132008 has 128 divisors (see below), whose sum is σ = 769744992556800. Its totient is φ = 69131813603328.

The previous prime is 242215510132007. The next prime is 242215510132021. The reversal of 242215510132008 is 800231015512242.

242215510132008 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 5 + 510 + 132 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×242215510132008² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242215510132007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82607041 + ... + 85488912.

It is an arithmetic number, because the mean of its divisors is an integer number (6013632754350).

Almost surely, 2^{242215510132008} is an apocalyptic number.

242215510132008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242215510132008 is an abundant number, since it is smaller than the sum of its proper divisors (527529482424792).

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

242215510132008 is a wasteful number, since it uses less digits than its factorization.

242215510132008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168096928 (or 168096918 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 242215510132008 in words is "two hundred forty-two trillion, two hundred fifteen billion, five hundred ten million, one hundred thirty-two thousand, eight".