2084290176 has 128 divisors (see below), whose sum is σ = 5801270400. Its totient is φ = 661782528.

The previous prime is 2084290171. The next prime is 2084290211. The reversal of 2084290176 is 6710924802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2084290176² = 8688531075540221952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2084290171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3612000 + ... + 3612576.

It is an arithmetic number, because the mean of its divisors is an integer number (45322425).

Almost surely, 2^2084290176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084290176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900635200).

2084290176 is an abundant number, since it is smaller than the sum of its proper divisors (3716980224).

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

2084290176 is a wasteful number, since it uses less digits than its factorization.

2084290176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2084290176 is about 45654.0269417715. The cubic root of 2084290176 is about 1277.3778874118.

The spelling of 2084290176 in words is "two billion, eighty-four million, two hundred ninety thousand, one hundred seventy-six".