2084460940800 has 1440 divisors, whose sum is σ = 8833770316800. Its totient is φ = 469105459200.

The previous prime is 2084460940781. The next prime is 2084460940823. The reversal of 2084460940800 is 80490644802.

2084460940800 is a `hidden beast` number, since 20 + 8 + 4 + 460 + 94 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2084460940800² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2805465229 + ... + 2805465971.

It is an arithmetic number, because the mean of its divisors is an integer number (6134562720).

Almost surely, 2^{2084460940800} is an apocalyptic number.

2084460940800 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 2084460940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416885158400).

2084460940800 is an abundant number, since it is smaller than the sum of its proper divisors (6749309376000).

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

2084460940800 is an equidigital number, since it uses as much as digits as its factorization.

2084460940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2084460940800 in words is "two trillion, eighty-four billion, four hundred sixty million, nine hundred forty thousand, eight hundred".