242492320000 has 360 divisors, whose sum is σ = 694456652736. Its totient is φ = 82756608000.

The previous prime is 242492319983. The next prime is 242492320067. The reversal of 242492320000 is 23294242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355039659 + ... + 355040341.

Almost surely, 2^242492320000 is an apocalyptic number.

242492320000 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 242492320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347228326368).

242492320000 is an abundant number, since it is smaller than the sum of its proper divisors (451964332736).

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

242492320000 is an frugal number, since it uses more digits than its factorization.

242492320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 242492320000 in words is "two hundred forty-two billion, four hundred ninety-two million, three hundred twenty thousand".