2084000569344 has 384 divisors, whose sum is σ = 6406127582400. Its totient is φ = 668860416000.

The previous prime is 2084000569337. The next prime is 2084000569349. The reversal of 2084000569344 is 4439650004802.

2084000569344 is a `hidden beast` number, since 2 + 0 + 8 + 40 + 0 + 0 + 569 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2084000569344² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2084000569344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084000569349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198452094 + ... + 198462594.

Almost surely, 2^{2084000569344} is an apocalyptic number.

2084000569344 is a gapful number since it is divisible by the number (24) 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 2084000569344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203063791200).

2084000569344 is an abundant number, since it is smaller than the sum of its proper divisors (4322127013056).

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

2084000569344 is a wasteful number, since it uses less digits than its factorization.

2084000569344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10640 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2084000569344 in words is "two trillion, eighty-four billion, five hundred sixty-nine thousand, three hundred forty-four".