2338791552 has 96 divisors (see below), whose sum is σ = 6797089260. Its totient is φ = 771840000.

The previous prime is 2338791551. The next prime is 2338791613. The reversal of 2338791552 is 2551978332.

2338791552 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 7 + 91 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2237668416 + 101123136 = 47304^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2338791498 and 2338791507.

It is not an unprimeable number, because it can be changed into a prime (2338791551) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 106302 + ... + 126402.

Almost surely, 2^2338791552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2338791552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398544630).

2338791552 is an abundant number, since it is smaller than the sum of its proper divisors (4458297708).

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

2338791552 is a wasteful number, since it uses less digits than its factorization.

2338791552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20222 (or 20207 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2338791552 is about 48361.0540828051. The cubic root of 2338791552 is about 1327.3858146011.

The spelling of 2338791552 in words is "two billion, three hundred thirty-eight million, seven hundred ninety-one thousand, five hundred fifty-two".