2084133408 has 384 divisors, whose sum is σ = 7060193280. Its totient is φ = 524620800.

The previous prime is 2084133391. The next prime is 2084133437. The reversal of 2084133408 is 8043314802.

It is a super-2 number, since 2×2084133408² = 8687224124683388928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13802133 + ... + 13802283.

It is an arithmetic number, because the mean of its divisors is an integer number (18385920).

Almost surely, 2^2084133408 is an apocalyptic number.

2084133408 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 2084133408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530096640).

2084133408 is an abundant number, since it is smaller than the sum of its proper divisors (4976059872).

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

2084133408 is a wasteful number, since it uses less digits than its factorization.

2084133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2084133408 is about 45652.3099963189. The cubic root of 2084133408 is about 1277.3458610014.

The spelling of 2084133408 in words is "two billion, eighty-four million, one hundred thirty-three thousand, four hundred eight".