2811828960 has 144 divisors (see below), whose sum is σ = 9905051520. Its totient is φ = 725621760.

The previous prime is 2811828923. The next prime is 2811828961. The reversal of 2811828960 is 698281182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811828961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13146 + ... + 76134.

It is an arithmetic number, because the mean of its divisors is an integer number (68785080).

Almost surely, 2^2811828960 is an apocalyptic number.

2811828960 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 2811828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952525760).

2811828960 is an abundant number, since it is smaller than the sum of its proper divisors (7093222560).

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

2811828960 is a wasteful number, since it uses less digits than its factorization.

2811828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63041 (or 63030 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2811828960 is about 53026.6815857828. The cubic root of 2811828960 is about 1411.4417725580.

The spelling of 2811828960 in words is "two billion, eight hundred eleven million, eight hundred twenty-eight thousand, nine hundred sixty".