2145513200 has 60 divisors (see below), whose sum is σ = 5177522040. Its totient is φ = 854388480.

The previous prime is 2145513197. The next prime is 2145513211. The reversal of 2145513200 is 23155412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78986 + ... + 102614.

It is an arithmetic number, because the mean of its divisors is an integer number (86292034).

Almost surely, 2^2145513200 is an apocalyptic number.

2145513200 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 2145513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588761020).

2145513200 is an abundant number, since it is smaller than the sum of its proper divisors (3032008840).

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

2145513200 is a wasteful number, since it uses less digits than its factorization.

2145513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23874 (or 23863 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2145513200 is about 46319.6848003093. The cubic root of 2145513200 is about 1289.7644342812.

Adding to 2145513200 its reverse (23155412), we get a palindrome (2168668612).

The spelling of 2145513200 in words is "two billion, one hundred forty-five million, five hundred thirteen thousand, two hundred".