2806838400 has 192 divisors, whose sum is σ = 9364579200. Its totient is φ = 738816000.

The previous prime is 2806838383. The next prime is 2806838401. The reversal of 2806838400 is 48386082.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2806838401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756550 + ... + 760250.

It is an arithmetic number, because the mean of its divisors is an integer number (48773850).

Almost surely, 2^2806838400 is an apocalyptic number.

2806838400 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 2806838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682289600).

2806838400 is an abundant number, since it is smaller than the sum of its proper divisors (6557740800).

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

2806838400 is a wasteful number, since it uses less digits than its factorization.

2806838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2806838400 is about 52979.6036225263. The cubic root of 2806838400 is about 1410.6062480253.

The spelling of 2806838400 in words is "two billion, eight hundred six million, eight hundred thirty-eight thousand, four hundred".