2048220820800 has 2520 divisors, whose sum is σ = 9683151405312. Its totient is φ = 415499673600.

The previous prime is 2048220820741. The next prime is 2048220820813. The reversal of 2048220820800 is 80280228402.

2048220820800 is a `hidden beast` number, since 2 + 0 + 482 + 20 + 82 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5159246202 + ... + 5159246598.

Almost surely, 2^{2048220820800} is an apocalyptic number.

2048220820800 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 2048220820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841575702656).

2048220820800 is an abundant number, since it is smaller than the sum of its proper divisors (7634930584512).

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

2048220820800 is a wasteful number, since it uses less digits than its factorization.

2048220820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 2048220820800 in words is "two trillion, forty-eight billion, two hundred twenty million, eight hundred twenty thousand, eight hundred".