242974286100 has 648 divisors, whose sum is σ = 977443798968. Its totient is φ = 50009702400.

The previous prime is 242974286081. The next prime is 242974286209. The reversal of 242974286100 is 1682479242.

242974286100 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 7 + 4 + 28 + 610 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 225604100484 + 17370185616 = 474978^2 + 131796^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23500132 + ... + 23510468.

Almost surely, 2^242974286100 is an apocalyptic number.

242974286100 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 242974286100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488721899484).

242974286100 is an abundant number, since it is smaller than the sum of its proper divisors (734469512868).

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

242974286100 is a wasteful number, since it uses less digits than its factorization.

242974286100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 242974286100 in words is "two hundred forty-two billion, nine hundred seventy-four million, two hundred eighty-six thousand, one hundred".