242377840 has 80 divisors (see below), whose sum is σ = 616032000. Its totient is φ = 88289280.

The previous prime is 242377783. The next prime is 242377843. The reversal of 242377840 is 48773242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 242377840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242377843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39286 + ... + 45034.

It is an arithmetic number, because the mean of its divisors is an integer number (7700400).

Almost surely, 2^242377840 is an apocalyptic number.

242377840 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 242377840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308016000).

242377840 is an abundant number, since it is smaller than the sum of its proper divisors (373654160).

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

242377840 is a wasteful number, since it uses less digits than its factorization.

242377840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 242377840 is about 15568.4886870884. The cubic root of 242377840 is about 623.4921218110.

The spelling of 242377840 in words is "two hundred forty-two million, three hundred seventy-seven thousand, eight hundred forty".