242151974820 has 384 divisors, whose sum is σ = 918734745600. Its totient is φ = 51716496384.

The previous prime is 242151974803. The next prime is 242151974843. The reversal of 242151974820 is 28479151242.

242151974820 is a `hidden beast` number, since 2 + 42 + 1 + 519 + 74 + 8 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5219767 + ... + 5265953.

It is an arithmetic number, because the mean of its divisors is an integer number (2392538400).

Almost surely, 2^242151974820 is an apocalyptic number.

242151974820 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 242151974820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459367372800).

242151974820 is an abundant number, since it is smaller than the sum of its proper divisors (676582770780).

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

242151974820 is a wasteful number, since it uses less digits than its factorization.

242151974820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46304 (or 46296 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 242151974820 in words is "two hundred forty-two billion, one hundred fifty-one million, nine hundred seventy-four thousand, eight hundred twenty".