2805332400 has 720 divisors, whose sum is σ = 11395922400. Its totient is φ = 654151680.

The previous prime is 2805332399. The next prime is 2805332447. The reversal of 2805332400 is 42335082.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52930774 + ... + 52930826.

It is an arithmetic number, because the mean of its divisors is an integer number (15827670).

Almost surely, 2^2805332400 is an apocalyptic number.

2805332400 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 2805332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697961200).

2805332400 is an abundant number, since it is smaller than the sum of its proper divisors (8590590000).

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

2805332400 is a wasteful number, since it uses less digits than its factorization.

2805332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2805332400 is about 52965.3886986587. The cubic root of 2805332400 is about 1410.3539174951.

Adding to 2805332400 its reverse (42335082), we get a palindrome (2847667482).

The spelling of 2805332400 in words is "two billion, eight hundred five million, three hundred thirty-two thousand, four hundred".