242419632 has 320 divisors, whose sum is σ = 853278720. Its totient is φ = 57480192.

The previous prime is 242419627. The next prime is 242419649. The reversal of 242419632 is 236914242.

242419632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242419593 and 242419602.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1908753 + ... + 1908879.

It is an arithmetic number, because the mean of its divisors is an integer number (2666496).

Almost surely, 2^242419632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242419632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426639360).

242419632 is an abundant number, since it is smaller than the sum of its proper divisors (610859088).

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

242419632 is a wasteful number, since it uses less digits than its factorization.

242419632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 242419632 is about 15569.8308275973. The cubic root of 242419632 is about 623.5279549621.

The spelling of 242419632 in words is "two hundred forty-two million, four hundred nineteen thousand, six hundred thirty-two".