242377297920 has 624 divisors, whose sum is σ = 881004563712. Its totient is φ = 63913328640.

The previous prime is 242377297913. The next prime is 242377297931. The reversal of 242377297920 is 29792773242.

242377297920 is a `hidden beast` number, since 242 + 377 + 2 + 9 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562360105 + ... + 562360535.

It is an arithmetic number, because the mean of its divisors is an integer number (1411866288).

Almost surely, 2^242377297920 is an apocalyptic number.

242377297920 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 242377297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440502281856).

242377297920 is an abundant number, since it is smaller than the sum of its proper divisors (638627265792).

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

242377297920 is an equidigital number, since it uses as much as digits as its factorization.

242377297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 242377297920 in words is "two hundred forty-two billion, three hundred seventy-seven million, two hundred ninety-seven thousand, nine hundred twenty".