2164022280 has 288 divisors, whose sum is σ = 8307973440. Its totient is φ = 486984960.

The previous prime is 2164022261. The next prime is 2164022297. The reversal of 2164022280 is 822204612.

2164022280 = 35² + 36² + ... + 1865².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1180965 + ... + 1182795.

It is an arithmetic number, because the mean of its divisors is an integer number (28847130).

Almost surely, 2^2164022280 is an apocalyptic number.

2164022280 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 2164022280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153986720).

2164022280 is an abundant number, since it is smaller than the sum of its proper divisors (6143951160).

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

2164022280 is a wasteful number, since it uses less digits than its factorization.

2164022280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2164022280 is about 46519.0528708399. The cubic root of 2164022280 is about 1293.4626997697.

Adding to 2164022280 its reverse (822204612), we get a palindrome (2986226892).

The spelling of 2164022280 in words is "two billion, one hundred sixty-four million, twenty-two thousand, two hundred eighty".