242672855740 has 144 divisors (see below), whose sum is σ = 608367684960. Its totient is φ = 81026641920.

The previous prime is 242672855723. The next prime is 242672855743. The reversal of 242672855740 is 47558276242.

242672855740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242672855740² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242672855743) 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 47 ways as a sum of consecutive naturals, for example, 23580516 + ... + 23590804.

It is an arithmetic number, because the mean of its divisors is an integer number (4224775590).

Almost surely, 2^242672855740 is an apocalyptic number.

242672855740 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 242672855740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304183842480).

242672855740 is an abundant number, since it is smaller than the sum of its proper divisors (365694829220).

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

242672855740 is a wasteful number, since it uses less digits than its factorization.

242672855740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 52.

The spelling of 242672855740 in words is "two hundred forty-two billion, six hundred seventy-two million, eight hundred fifty-five thousand, seven hundred forty".