2864438400 has 192 divisors, whose sum is σ = 9845709120. Its totient is φ = 730583040.

The previous prime is 2864438399. The next prime is 2864438417. The reversal of 2864438400 is 48344682.

2864438400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 214314 + ... + 227286.

It is an arithmetic number, because the mean of its divisors is an integer number (51279735).

Almost surely, 2^2864438400 is an apocalyptic number.

2864438400 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 2864438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922854560).

2864438400 is an abundant number, since it is smaller than the sum of its proper divisors (6981270720).

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

2864438400 is a wasteful number, since it uses less digits than its factorization.

2864438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13023 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 2864438400 is about 53520.4484286146. The cubic root of 2864438400 is about 1420.1901484439.

The spelling of 2864438400 in words is "two billion, eight hundred sixty-four million, four hundred thirty-eight thousand, four hundred".