2808449280 has 1152 divisors, whose sum is σ = 13186252800. Its totient is φ = 549421056.

The previous prime is 2808449279. The next prime is 2808449311. The reversal of 2808449280 is 829448082.

It is a happy number.

2808449280 is a `hidden beast` number, since 2 + 8 + 0 + 84 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59754217 + ... + 59754263.

It is an arithmetic number, because the mean of its divisors is an integer number (11446400).

Almost surely, 2^2808449280 is an apocalyptic number.

2808449280 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 2808449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593126400).

2808449280 is an abundant number, since it is smaller than the sum of its proper divisors (10377803520).

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

2808449280 is a wasteful number, since it uses less digits than its factorization.

2808449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2808449280 is about 52994.8042736267. The cubic root of 2808449280 is about 1410.8760513299.

The spelling of 2808449280 in words is "two billion, eight hundred eight million, four hundred forty-nine thousand, two hundred eighty".