242514899100 has 486 divisors, whose sum is σ = 839164901120. Its totient is φ = 60818895360.

The previous prime is 242514899093. The next prime is 242514899113. The reversal of 242514899100 is 1998415242.

It is a happy number.

242514899100 is a `hidden beast` number, since 2 + 42 + 514 + 8 + 9 + 91 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (486).

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 161 ways as a sum of consecutive naturals, for example, 189612261 + ... + 189613539.

Almost surely, 2^242514899100 is an apocalyptic number.

242514899100 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 242514899100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419582450560).

242514899100 is an abundant number, since it is smaller than the sum of its proper divisors (596650002020).

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

242514899100 is a wasteful number, since it uses less digits than its factorization.

242514899100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 242514899100 in words is "two hundred forty-two billion, five hundred fourteen million, eight hundred ninety-nine thousand, one hundred".