242601649920 has 756 divisors, whose sum is σ = 984742111080. Its totient is φ = 55142019072.

The previous prime is 242601649841. The next prime is 242601649921. The reversal of 242601649920 is 29946106242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242601649921) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1355316391 + ... + 1355316569.

It is an arithmetic number, because the mean of its divisors is an integer number (1302568930).

Almost surely, 2^242601649920 is an apocalyptic number.

242601649920 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 242601649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492371055540).

242601649920 is an abundant number, since it is smaller than the sum of its proper divisors (742140461160).

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

242601649920 is an frugal number, since it uses more digits than its factorization.

242601649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 242601649920 in words is "two hundred forty-two billion, six hundred one million, six hundred forty-nine thousand, nine hundred twenty".