2538768393 has 32 divisors (see below), whose sum is σ = 4350259200. Its totient is φ = 1433237328.

The previous prime is 2538768383. The next prime is 2538768409. The reversal of 2538768393 is 3938678352.

2538768393 is a `hidden beast` number, since 2 + 538 + 76 + 8 + 39 + 3 = 666.

It is not a de Polignac number, because 2538768393 - 2²⁵ = 2505213961 is a prime.

It is a super-3 number, since 3×2538768393³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2538768383) 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, 65233 + ... + 96606.

It is an arithmetic number, because the mean of its divisors is an integer number (135945600).

Almost surely, 2^2538768393 is an apocalyptic number.

It is an amenable number.

2538768393 is a deficient number, since it is larger than the sum of its proper divisors (1811490807).

2538768393 is a wasteful number, since it uses less digits than its factorization.

2538768393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161938 (or 161932 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2538768393 is about 50386.1924836557. The cubic root of 2538768393 is about 1364.1884271197.

The spelling of 2538768393 in words is "two billion, five hundred thirty-eight million, seven hundred sixty-eight thousand, three hundred ninety-three".