2606452800 has 168 divisors, whose sum is σ = 9773082816. Its totient is φ = 595752960.

The previous prime is 2606452787. The next prime is 2606452867. The reversal of 2606452800 is 82546062.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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, 5187 + ... + 72386.

It is an arithmetic number, because the mean of its divisors is an integer number (58173112).

Almost surely, 2^2606452800 is an apocalyptic number.

2606452800 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 2606452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886541408).

2606452800 is an abundant number, since it is smaller than the sum of its proper divisors (7166630016).

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

2606452800 is a wasteful number, since it uses less digits than its factorization.

2606452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77605 (or 77590 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2606452800 is about 51053.4308347637. The cubic root of 2606452800 is about 1376.2054970715.

Adding to 2606452800 its reverse (82546062), we get a palindrome (2688998862).

The spelling of 2606452800 in words is "two billion, six hundred six million, four hundred fifty-two thousand, eight hundred".