2084966400 has 312 divisors, whose sum is σ = 7532312544. Its totient is φ = 504627200.

The previous prime is 2084966393. The next prime is 2084966419. The reversal of 2084966400 is 46694802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378892 + ... + 3379508.

Almost surely, 2^2084966400 is an apocalyptic number.

2084966400 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 2084966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766156272).

2084966400 is an abundant number, since it is smaller than the sum of its proper divisors (5447346144).

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

2084966400 is a wasteful number, since it uses less digits than its factorization.

2084966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2084966400 is about 45661.4323034221. The cubic root of 2084966400 is about 1277.5160160011.

The spelling of 2084966400 in words is "two billion, eighty-four million, nine hundred sixty-six thousand, four hundred".