2081894400 has 390 divisors, whose sum is σ = 7742559132. Its totient is φ = 552960000.

The previous prime is 2081894389. The next prime is 2081894411. The reversal of 2081894400 is 44981802.

2081894400 is a `hidden beast` number, since 208 + 1 + 8 + 9 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2081894389) and next prime (2081894411).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294275 + ... + 8294525.

Almost surely, 2^2081894400 is an apocalyptic number.

2081894400 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 2081894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871279566).

2081894400 is an abundant number, since it is smaller than the sum of its proper divisors (5660664732).

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

2081894400 is an equidigital number, since it uses as much as digits as its factorization.

2081894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2081894400 is about 45627.7810111340. The cubic root of 2081894400 is about 1276.8882747493. Note that the first 3 decimals are identical.

The spelling of 2081894400 in words is "two billion, eighty-one million, eight hundred ninety-four thousand, four hundred".