242902800000 has 2016 divisors, whose sum is σ = 1116965970540. Its totient is φ = 52254720000.

The previous prime is 242902799911. The next prime is 242902800011. The reversal of 242902800000 is 8209242.

It can be written as a sum of positive squares in 6 ways, for example, as 10262500416 + 232640299584 = 101304^2 + 482328^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 14288399992 + ... + 14288400008.

Almost surely, 2^242902800000 is an apocalyptic number.

242902800000 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 242902800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558482985270).

242902800000 is an abundant number, since it is smaller than the sum of its proper divisors (874063170540).

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

242902800000 is an frugal number, since it uses more digits than its factorization.

242902800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 242902800000 in words is "two hundred forty-two billion, nine hundred two million, eight hundred thousand".