242590234977900 has 576 divisors, whose sum is σ = 847842067968000. Its totient is φ = 59278799462400.

The previous prime is 242590234977823. The next prime is 242590234977941. The reversal of 242590234977900 is 9779432095242.

242590234977900 is a `hidden beast` number, since 2 + 4 + 2 + 59 + 0 + 2 + 3 + 497 + 7 + 90 + 0 = 666.

It is a super-2 number, since 2×242590234977900² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3207597286 + ... + 3207672914.

Almost surely, 2^{242590234977900} is an apocalyptic number.

242590234977900 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 242590234977900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423921033984000).

242590234977900 is an abundant number, since it is smaller than the sum of its proper divisors (605251832990100).

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

242590234977900 is a wasteful number, since it uses less digits than its factorization.

242590234977900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77719 (or 77706 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 242590234977900 in words is "two hundred forty-two trillion, five hundred ninety billion, two hundred thirty-four million, nine hundred seventy-seven thousand, nine hundred".