2813452800 has 240 divisors, whose sum is σ = 9526077792. Its totient is φ = 731545600.

The previous prime is 2813452793. The next prime is 2813452801. The reversal of 2813452800 is 82543182.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2813452801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1573507 + ... + 1575293.

Almost surely, 2^2813452800 is an apocalyptic number.

2813452800 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 2813452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763038896).

2813452800 is an abundant number, since it is smaller than the sum of its proper divisors (6712624992).

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

2813452800 is a wasteful number, since it uses less digits than its factorization.

2813452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2813452800 is about 53041.9909128607. The cubic root of 2813452800 is about 1411.7134242810.

Adding to 2813452800 its reverse (82543182), we get a palindrome (2895995982).

The spelling of 2813452800 in words is "two billion, eight hundred thirteen million, four hundred fifty-two thousand, eight hundred".