2809640545800 has 1728 divisors, whose sum is σ = 10857805056000. Its totient is φ = 599078937600.

The previous prime is 2809640545799. The next prime is 2809640545847. The reversal of 2809640545800 is 85450469082.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 35565070161 + ... + 35565070239.

It is an arithmetic number, because the mean of its divisors is an integer number (6283452000).

Almost surely, 2^{2809640545800} is an apocalyptic number.

2809640545800 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 2809640545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428902528000).

2809640545800 is an abundant number, since it is smaller than the sum of its proper divisors (8048164510200).

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

2809640545800 is a wasteful number, since it uses less digits than its factorization.

2809640545800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 2809640545800 in words is "two trillion, eight hundred nine billion, six hundred forty million, five hundred forty-five thousand, eight hundred".