2821790563200 has 768 divisors, whose sum is σ = 12423472704000. Its totient is φ = 611031859200.

The previous prime is 2821790563169. The next prime is 2821790563217. The reversal of 2821790563200 is 23650971282.

2821790563200 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 7 + 9 + 0 + 5 + 632 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11368420 + ... + 11613980.

It is an arithmetic number, because the mean of its divisors is an integer number (16176396750).

Almost surely, 2^{2821790563200} is an apocalyptic number.

2821790563200 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 2821790563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211736352000).

2821790563200 is an abundant number, since it is smaller than the sum of its proper divisors (9601682140800).

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

2821790563200 is a wasteful number, since it uses less digits than its factorization.

2821790563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245620 (or 245597 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2821790563200 in words is "two trillion, eight hundred twenty-one billion, seven hundred ninety million, five hundred sixty-three thousand, two hundred".