2168382240 has 144 divisors (see below), whose sum is σ = 7420198968. Its totient is φ = 576626688.

The previous prime is 2168382233. The next prime is 2168382263. The reversal of 2168382240 is 422838612.

It can be written as a sum of positive squares in 4 ways, for example, as 1576725264 + 591656976 = 39708^2 + 24324^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2168382195 and 2168382204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569784 + ... + 573576.

Almost surely, 2^2168382240 is an apocalyptic number.

2168382240 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 2168382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710099484).

2168382240 is an abundant number, since it is smaller than the sum of its proper divisors (5251816728).

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

2168382240 is a wasteful number, since it uses less digits than its factorization.

2168382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2168382240 is about 46565.8913798501. The cubic root of 2168382240 is about 1294.3307842566.

The spelling of 2168382240 in words is "two billion, one hundred sixty-eight million, three hundred eighty-two thousand, two hundred forty".