2162388384 has 216 divisors, whose sum is σ = 6854214276. Its totient is φ = 642816000.

The previous prime is 2162388383. The next prime is 2162388391. The reversal of 2162388384 is 4838832612.

It can be written as a sum of positive squares in 2 ways, for example, as 2162250000 + 138384 = 46500^2 + 372^2 .

It is a super-3 number, since 3×2162388384³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162388383) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3597684 + ... + 3598284.

Almost surely, 2^2162388384 is an apocalyptic number.

2162388384 is a gapful number since it is divisible by the number (24) 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 2162388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427107138).

2162388384 is an abundant number, since it is smaller than the sum of its proper divisors (4691825892).

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

2162388384 is a wasteful number, since it uses less digits than its factorization.

2162388384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 650 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2162388384 is about 46501.4879761928. The cubic root of 2162388384 is about 1293.1370845698.

The spelling of 2162388384 in words is "two billion, one hundred sixty-two million, three hundred eighty-eight thousand, three hundred eighty-four".