2664403200 has 432 divisors, whose sum is σ = 10356212160. Its totient is φ = 667975680.

The previous prime is 2664403187. The next prime is 2664403207. The reversal of 2664403200 is 23044662.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (2664403207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937147 + ... + 2938053.

Almost surely, 2^2664403200 is an apocalyptic number.

2664403200 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 2664403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178106080).

2664403200 is an abundant number, since it is smaller than the sum of its proper divisors (7691808960).

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

2664403200 is a wasteful number, since it uses less digits than its factorization.

2664403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2664403200 is about 51617.8573751371. The cubic root of 2664403200 is about 1386.3300876069.

Adding to 2664403200 its reverse (23044662), we get a palindrome (2687447862).

The spelling of 2664403200 in words is "two billion, six hundred sixty-four million, four hundred three thousand, two hundred".