242070273984 has 448 divisors, whose sum is σ = 861086822400. Its totient is φ = 58110566400.

The previous prime is 242070273979. The next prime is 242070273989. The reversal of 242070273984 is 489372070242.

It is an interprime number because it is at equal distance from previous prime (242070273979) and next prime (242070273989).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242070273989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11506227 + ... + 11527245.

It is an arithmetic number, because the mean of its divisors is an integer number (1922068800).

Almost surely, 2^242070273984 is an apocalyptic number.

242070273984 is a gapful number since it is divisible by the number (24) 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 242070273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430543411200).

242070273984 is an abundant number, since it is smaller than the sum of its proper divisors (619016548416).

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

242070273984 is a wasteful number, since it uses less digits than its factorization.

242070273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112 (or 21102 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 242070273984 in words is "two hundred forty-two billion, seventy million, two hundred seventy-three thousand, nine hundred eighty-four".