2538668052 has 72 divisors (see below), whose sum is σ = 6775947360. Its totient is φ = 799191360.

The previous prime is 2538668047. The next prime is 2538668059. The reversal of 2538668052 is 2508668352.

2538668052 is a `hidden beast` number, since 2 + 538 + 6 + 68 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2538667989 and 2538668007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538668059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220798 + ... + 232010.

It is an arithmetic number, because the mean of its divisors is an integer number (94110380).

Almost surely, 2^2538668052 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 2538668052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387973680).

2538668052 is an abundant number, since it is smaller than the sum of its proper divisors (4237279308).

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

2538668052 is a wasteful number, since it uses less digits than its factorization.

2538668052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11573 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2538668052 is about 50385.1967546024. The cubic root of 2538668052 is about 1364.1704543848.

The spelling of 2538668052 in words is "two billion, five hundred thirty-eight million, six hundred sixty-eight thousand, fifty-two".