2084144832 has 420 divisors, whose sum is σ = 7658090856. Its totient is φ = 537384960.

The previous prime is 2084144831. The next prime is 2084144891. The reversal of 2084144832 is 2384414802.

2084144832 is a `hidden beast` number, since 208 + 4 + 1 + 448 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2084144831) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15212668 + ... + 15212804.

Almost surely, 2^2084144832 is an apocalyptic number.

2084144832 is a gapful number since it is divisible by the number (22) 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 2084144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829045428).

2084144832 is an abundant number, since it is smaller than the sum of its proper divisors (5573946024).

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

2084144832 is a wasteful number, since it uses less digits than its factorization.

2084144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2084144832 is about 45652.4351157745. The cubic root of 2084144832 is about 1277.3481948847.

The spelling of 2084144832 in words is "two billion, eighty-four million, one hundred forty-four thousand, eight hundred thirty-two".