242063760 has 80 divisors (see below), whose sum is σ = 752380416. Its totient is φ = 64379904.

The previous prime is 242063747. The next prime is 242063777. The reversal of 242063760 is 67360242.

242063760 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 108577 + ... + 110783.

Almost surely, 2^242063760 is an apocalyptic number.

242063760 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 242063760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376190208).

242063760 is an abundant number, since it is smaller than the sum of its proper divisors (510316656).

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

242063760 is a wasteful number, since it uses less digits than its factorization.

242063760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 242063760 is about 15558.3983751542. The cubic root of 242063760 is about 623.2226925426. Note that the first 3 decimals are identical.

It can be divided in two parts, 24206 and 3760, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 242063760 in words is "two hundred forty-two million, sixty-three thousand, seven hundred sixty".