2084813380 has 192 divisors, whose sum is σ = 5283532800. Its totient is φ = 683527680.

The previous prime is 2084813371. The next prime is 2084813383. The reversal of 2084813380 is 833184802.

It is not an unprimeable number, because it can be changed into a prime (2084813383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6703425 + ... + 6703735.

It is an arithmetic number, because the mean of its divisors is an integer number (27518400).

Almost surely, 2^2084813380 is an apocalyptic number.

2084813380 is a gapful number since it is divisible by the number (20) 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 2084813380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

2084813380 is an abundant number, since it is smaller than the sum of its proper divisors (3198719420).

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

2084813380 is a wasteful number, since it uses less digits than its factorization.

2084813380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 2084813380 is about 45659.7566791589. The cubic root of 2084813380 is about 1277.4847620549.

The spelling of 2084813380 in words is "two billion, eighty-four million, eight hundred thirteen thousand, three hundred eighty".