242753619840 has 64 divisors (see below), whose sum is σ = 773777169360. Its totient is φ = 64734298112.

The previous prime is 242753619839. The next prime is 242753619851. The reversal of 242753619840 is 48916357242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63215169 + ... + 63219008.

It is a 1-persistent number, because it is pandigital, but 2⋅242753619840 = 485507239680 is not.

Almost surely, 2^242753619840 is an apocalyptic number.

242753619840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242753619840 is an abundant number, since it is smaller than the sum of its proper divisors (531023549520).

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

242753619840 is a wasteful number, since it uses less digits than its factorization.

242753619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126434199 (or 126434187 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 242753619840 in words is "two hundred forty-two billion, seven hundred fifty-three million, six hundred nineteen thousand, eight hundred forty".