2809880064 has 320 divisors, whose sum is σ = 8858361600. Its totient is φ = 877879296.

The previous prime is 2809880063. The next prime is 2809880081. The reversal of 2809880064 is 4600889082.

It is a happy number.

2809880064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809880063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17238447 + ... + 17238609.

It is an arithmetic number, because the mean of its divisors is an integer number (27682380).

Almost surely, 2^2809880064 is an apocalyptic number.

2809880064 is a gapful number since it is divisible by the number (24) 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 2809880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429180800).

2809880064 is an abundant number, since it is smaller than the sum of its proper divisors (6048481536).

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

2809880064 is a wasteful number, since it uses less digits than its factorization.

2809880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2809880064 is about 53008.3018403721. The cubic root of 2809880064 is about 1411.1156041898.

The spelling of 2809880064 in words is "two billion, eight hundred nine million, eight hundred eighty thousand, sixty-four".