242402507253360 has 120 divisors (see below), whose sum is σ = 814445134545744. Its totient is φ = 64610755799040.

The previous prime is 242402507253341. The next prime is 242402507253367. The reversal of 242402507253360 is 63352705204242.

242402507253360 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 0 + 2 + 50 + 7 + 2 + 533 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×242402507253360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242402507253367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76340922 + ... + 79452761.

Almost surely, 2^{242402507253360} is an apocalyptic number.

242402507253360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242402507253360 is an abundant number, since it is smaller than the sum of its proper divisors (572042627292384).

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

242402507253360 is a wasteful number, since it uses less digits than its factorization.

242402507253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155795863 (or 155795854 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 242402507253360 in words is "two hundred forty-two trillion, four hundred two billion, five hundred seven million, two hundred fifty-three thousand, three hundred sixty".