242631014220 has 672 divisors, whose sum is σ = 924936122880. Its totient is φ = 52202465280.

The previous prime is 242631014191. The next prime is 242631014233. The reversal of 242631014220 is 22410136242.

242631014220 is a `hidden beast` number, since 2 + 4 + 2 + 631 + 0 + 1 + 4 + 2 + 20 = 666.

It is a super-2 number, since 2×242631014220² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 409158244 + ... + 409158836.

It is an arithmetic number, because the mean of its divisors is an integer number (1376393040).

Almost surely, 2^242631014220 is an apocalyptic number.

242631014220 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 242631014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462468061440).

242631014220 is an abundant number, since it is smaller than the sum of its proper divisors (682305108660).

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

242631014220 is a wasteful number, since it uses less digits than its factorization.

242631014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 242631014220 in words is "two hundred forty-two billion, six hundred thirty-one million, fourteen thousand, two hundred twenty".