242680532400 has 180 divisors, whose sum is σ = 886493785320. Its totient is φ = 61308748800.

The previous prime is 242680532377. The next prime is 242680532441. The reversal of 242680532400 is 4235086242.

242680532400 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 80 + 532 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1705581 + ... + 1842380.

It is an arithmetic number, because the mean of its divisors is an integer number (4924965474).

Almost surely, 2^242680532400 is an apocalyptic number.

242680532400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242680532400 is an abundant number, since it is smaller than the sum of its proper divisors (643813252920).

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

242680532400 is a wasteful number, since it uses less digits than its factorization.

242680532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548004 (or 3547990 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 242680532400 in words is "two hundred forty-two billion, six hundred eighty million, five hundred thirty-two thousand, four hundred".