242372002824 has 192 divisors, whose sum is σ = 793288903680. Its totient is φ = 65380608000.

The previous prime is 242372002771. The next prime is 242372002849. The reversal of 242372002824 is 428200273242.

242372002824 is a `hidden beast` number, since 2 + 4 + 2 + 372 + 0 + 0 + 282 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 451404 + ... + 829764.

It is an arithmetic number, because the mean of its divisors is an integer number (4131713040).

Almost surely, 2^242372002824 is an apocalyptic number.

242372002824 is a gapful number since it is divisible by the number (24) 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 242372002824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396644451840).

242372002824 is an abundant number, since it is smaller than the sum of its proper divisors (550916900856).

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

242372002824 is a wasteful number, since it uses less digits than its factorization.

242372002824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378452 (or 378445 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 242372002824 in words is "two hundred forty-two billion, three hundred seventy-two million, two thousand, eight hundred twenty-four".