2205648076800 has 360 divisors, whose sum is σ = 8335027246336. Its totient is φ = 504146165760.

The previous prime is 2205648076769. The next prime is 2205648076843. The reversal of 2205648076800 is 86708465022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2205648076800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8473389 + ... + 8729811.

Almost surely, 2^{2205648076800} is an apocalyptic number.

2205648076800 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 2205648076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167513623168).

2205648076800 is an abundant number, since it is smaller than the sum of its proper divisors (6129379169536).

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

2205648076800 is an equidigital number, since it uses as much as digits as its factorization.

2205648076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256471 (or 256440 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 2205648076800 in words is "two trillion, two hundred five billion, six hundred forty-eight million, seventy-six thousand, eight hundred".