242464032720 has 2400 divisors, whose sum is σ = 1175500263168. Its totient is φ = 44933087232.

The previous prime is 242464032697. The next prime is 242464032821. The reversal of 242464032720 is 27230464242.

242464032720 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 640 + 3 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3618866127 + ... + 3618866193.

Almost surely, 2^242464032720 is an apocalyptic number.

242464032720 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 242464032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587750131584).

242464032720 is an abundant number, since it is smaller than the sum of its proper divisors (933036230448).

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

242464032720 is a wasteful number, since it uses less digits than its factorization.

242464032720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 242464032720 its reverse (27230464242), we get a palindrome (269694496962).

The spelling of 242464032720 in words is "two hundred forty-two billion, four hundred sixty-four million, thirty-two thousand, seven hundred twenty".