2162802140800 has 384 divisors, whose sum is σ = 6333005376000. Its totient is φ = 729353318400.

The previous prime is 2162802140773. The next prime is 2162802140813. The reversal of 2162802140800 is 80412082612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66937449 + ... + 66969751.

It is an arithmetic number, because the mean of its divisors is an integer number (16492201500).

Almost surely, 2^{2162802140800} is an apocalyptic number.

2162802140800 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 2162802140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166502688000).

2162802140800 is an abundant number, since it is smaller than the sum of its proper divisors (4170203235200).

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

2162802140800 is an equidigital number, since it uses as much as digits as its factorization.

2162802140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32409 (or 32378 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 2162802140800 in words is "two trillion, one hundred sixty-two billion, eight hundred two million, one hundred forty thousand, eight hundred".