2246427820800 has 1080 divisors, whose sum is σ = 8856969228800. Its totient is φ = 560140738560.

The previous prime is 2246427820757. The next prime is 2246427820919. The reversal of 2246427820800 is 80287246422.

2246427820800 is a `hidden beast` number, since 22 + 464 + 2 + 78 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 778116957 + ... + 778119843.

Almost surely, 2^{2246427820800} is an apocalyptic number.

2246427820800 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 2246427820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428484614400).

2246427820800 is an abundant number, since it is smaller than the sum of its proper divisors (6610541408000).

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

2246427820800 is a wasteful number, since it uses less digits than its factorization.

2246427820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 2246427820800 in words is "two trillion, two hundred forty-six billion, four hundred twenty-seven million, eight hundred twenty thousand, eight hundred".