2081828044800 has 1632 divisors, whose sum is σ = 8955945116160. Its totient is φ = 470113320960.

The previous prime is 2081828044789. The next prime is 2081828044823. The reversal of 2081828044800 is 84408281802.

2081828044800 is a `hidden beast` number, since 20 + 8 + 182 + 8 + 0 + 448 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25082265559 + ... + 25082265641.

Almost surely, 2^{2081828044800} is an apocalyptic number.

2081828044800 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 2081828044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477972558080).

2081828044800 is an abundant number, since it is smaller than the sum of its proper divisors (6874117071360).

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

2081828044800 is an frugal number, since it uses more digits than its factorization.

2081828044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 2081828044800 in words is "two trillion, eighty-one billion, eight hundred twenty-eight million, forty-four thousand, eight hundred".