2164649760 has 288 divisors, whose sum is σ = 9092079360. Its totient is φ = 456689664.

The previous prime is 2164649749. The next prime is 2164649777. The reversal of 2164649760 is 679464612.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122781 + ... + 139299.

It is an arithmetic number, because the mean of its divisors is an integer number (31569720).

Almost surely, 2^2164649760 is an apocalyptic number.

2164649760 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 2164649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546039680).

2164649760 is an abundant number, since it is smaller than the sum of its proper divisors (6927429600).

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

2164649760 is a wasteful number, since it uses less digits than its factorization.

2164649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16560 (or 16549 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2164649760 is about 46525.7967153707. The cubic root of 2164649760 is about 1293.5877051896.

The spelling of 2164649760 in words is "two billion, one hundred sixty-four million, six hundred forty-nine thousand, seven hundred sixty".