2165949280 has 96 divisors (see below), whose sum is σ = 5605625088. Its totient is φ = 784320000.

The previous prime is 2165949263. The next prime is 2165949283. The reversal of 2165949280 is 829495612.

It is a self number, because there is not a number n which added to its sum of digits gives 2165949280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165949283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439309 + ... + 444211.

It is an arithmetic number, because the mean of its divisors is an integer number (58391928).

Almost surely, 2^2165949280 is an apocalyptic number.

2165949280 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 2165949280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802812544).

2165949280 is an abundant number, since it is smaller than the sum of its proper divisors (3439675808).

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

2165949280 is a wasteful number, since it uses less digits than its factorization.

2165949280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 2165949280 is about 46539.7602056564. The cubic root of 2165949280 is about 1293.8465163901.

The spelling of 2165949280 in words is "two billion, one hundred sixty-five million, nine hundred forty-nine thousand, two hundred eighty".