2167122240 has 168 divisors, whose sum is σ = 7636218408. Its totient is φ = 563773440.

The previous prime is 2167122229. The next prime is 2167122257. The reversal of 2167122240 is 422217612.

It can be written as a sum of positive squares in 4 ways, for example, as 159365376 + 2007756864 = 12624^2 + 44808^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 108904 + ... + 127256.

It is an arithmetic number, because the mean of its divisors is an integer number (45453681).

Almost surely, 2^2167122240 is an apocalyptic number.

2167122240 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 2167122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818109204).

2167122240 is an abundant number, since it is smaller than the sum of its proper divisors (5469096168).

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

2167122240 is a wasteful number, since it uses less digits than its factorization.

2167122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18417 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2167122240 is about 46552.3601979534. The cubic root of 2167122240 is about 1294.0800331443.

Adding to 2167122240 its reverse (422217612), we get a palindrome (2589339852).

The spelling of 2167122240 in words is "two billion, one hundred sixty-seven million, one hundred twenty-two thousand, two hundred forty".