2047223808000 has 2400 divisors, whose sum is σ = 9144050243328. Its totient is φ = 445906944000.

The previous prime is 2047223807971. The next prime is 2047223808017. The reversal of 2047223808000 is 8083227402.

2047223808000 is a `hidden beast` number, since 204 + 72 + 2 + 380 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×2047223808000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47609855979 + ... + 47609856021.

Almost surely, 2^{2047223808000} is an apocalyptic number.

2047223808000 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 2047223808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572025121664).

2047223808000 is an abundant number, since it is smaller than the sum of its proper divisors (7096826435328).

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

2047223808000 is an frugal number, since it uses more digits than its factorization.

2047223808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2047223808000 in words is "two trillion, forty-seven billion, two hundred twenty-three million, eight hundred eight thousand".