2084028408 has 288 divisors, whose sum is σ = 7260140160. Its totient is φ = 533957760.

The previous prime is 2084028403. The next prime is 2084028431. The reversal of 2084028408 is 8048204802.

2084028408 is a `hidden beast` number, since 208 + 40 + 2 + 8 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084028403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3220741 + ... + 3221387.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^2084028408 is an apocalyptic number.

2084028408 is a gapful number since it is divisible by the number (28) 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 2084028408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630070080).

2084028408 is an abundant number, since it is smaller than the sum of its proper divisors (5176111752).

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

2084028408 is a wasteful number, since it uses less digits than its factorization.

2084028408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2084028408 is about 45651.1599852621. The cubic root of 2084028408 is about 1277.3244094687.

The spelling of 2084028408 in words is "two billion, eighty-four million, twenty-eight thousand, four hundred eight".