2338060032 has 576 divisors, whose sum is σ = 9042001920. Its totient is φ = 577843200.

The previous prime is 2338060019. The next prime is 2338060057. The reversal of 2338060032 is 2300608332.

2338060032 is a `hidden beast` number, since 23 + 3 + 8 + 0 + 600 + 32 = 666.

2338060032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 2338059978 and 2338060005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12241057 + ... + 12241247.

It is an arithmetic number, because the mean of its divisors is an integer number (15697920).

Almost surely, 2^2338060032 is an apocalyptic number.

2338060032 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 2338060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521000960).

2338060032 is an abundant number, since it is smaller than the sum of its proper divisors (6703941888).

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

2338060032 is a wasteful number, since it uses less digits than its factorization.

2338060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2338060032 is about 48353.4903807367. The cubic root of 2338060032 is about 1327.2474082912.

Adding to 2338060032 its reverse (2300608332), we get a palindrome (4638668364).

The spelling of 2338060032 in words is "two billion, three hundred thirty-eight million, sixty thousand, thirty-two".