2382016032 has 192 divisors, whose sum is σ = 7765269120. Its totient is φ = 704102400.

The previous prime is 2382016031. The next prime is 2382016033. The reversal of 2382016032 is 2306102832.

2382016032 is a `hidden beast` number, since 2 + 38 + 20 + 1 + 603 + 2 = 666.

2382016032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2382016031) and next prime (2382016033).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2382015987 and 2382016005.

It is not an unprimeable number, because it can be changed into a prime (2382016031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386608 + ... + 392720.

It is an arithmetic number, because the mean of its divisors is an integer number (40444110).

Almost surely, 2^2382016032 is an apocalyptic number.

2382016032 is a gapful number since it is divisible by the number (22) 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 2382016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882634560).

2382016032 is an abundant number, since it is smaller than the sum of its proper divisors (5383253088).

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

2382016032 is a wasteful number, since it uses less digits than its factorization.

2382016032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6184 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2382016032 is about 48805.9016103586. The cubic root of 2382016032 is about 1335.5133286616.

Adding to 2382016032 its reverse (2306102832), we get a palindrome (4688118864).

The spelling of 2382016032 in words is "two billion, three hundred eighty-two million, sixteen thousand, thirty-two".