242498016 has 96 divisors (see below), whose sum is σ = 738097920. Its totient is φ = 77311872.

The previous prime is 242497987. The next prime is 242498021. The reversal of 242498016 is 610894242.

242498016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13771 + ... + 25973.

It is an arithmetic number, because the mean of its divisors is an integer number (7688520).

Almost surely, 2^242498016 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 242498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369048960).

242498016 is an abundant number, since it is smaller than the sum of its proper divisors (495599904).

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

242498016 is a wasteful number, since it uses less digits than its factorization.

242498016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12245 (or 12231 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 242498016 is about 15572.3477998663. The cubic root of 242498016 is about 623.5951515942.

The spelling of 242498016 in words is "two hundred forty-two million, four hundred ninety-eight thousand, sixteen".