242542464 has 64 divisors (see below), whose sum is σ = 650384640. Its totient is φ = 80078336.

The previous prime is 242542459. The next prime is 242542477. The reversal of 242542464 is 464245242.

242542464 is digitally balanced in base 2 and base 3, because in such bases 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38137 + ... + 44039.

It is an arithmetic number, because the mean of its divisors is an integer number (10162260).

Almost surely, 2^242542464 is an apocalyptic number.

242542464 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 242542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325192320).

242542464 is an abundant number, since it is smaller than the sum of its proper divisors (407842176).

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

242542464 is a wasteful number, since it uses less digits than its factorization.

242542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6015 counting only the distinct ones).

The product of its digits is 61440, while the sum is 33.

The square root of 242542464 is about 15573.7748795852. The cubic root of 242542464 is about 623.6332493134.

The spelling of 242542464 in words is "two hundred forty-two million, five hundred forty-two thousand, four hundred sixty-four".