2062218412800 has 1296 divisors, whose sum is σ = 9552391663360. Its totient is φ = 412185231360.

The previous prime is 2062218412741. The next prime is 2062218412801. The reversal of 2062218412800 is 82148122602.

2062218412800 is a `hidden beast` number, since 2 + 0 + 622 + 1 + 8 + 4 + 1 + 28 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2062218412801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99580047 + ... + 99600753.

Almost surely, 2^{2062218412800} is an apocalyptic number.

2062218412800 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 2062218412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776195831680).

2062218412800 is an abundant number, since it is smaller than the sum of its proper divisors (7490173250560).

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

2062218412800 is a wasteful number, since it uses less digits than its factorization.

2062218412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20778 (or 20756 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 2062218412800 in words is "two trillion, sixty-two billion, two hundred eighteen million, four hundred twelve thousand, eight hundred".